4,616,626

2 × 7 × 29 × 83 × 137

4,616,626 factors as 2 × 7 × 29 × 83 × 137. Its 32 positive divisors give a proper-divisor sum of 3,729,614, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 83 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,346,240

Proper Divisor Sum 3,729,614

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4616617 ← → #4616627

Radix Representation

Decimal	4616626
Binary	10001100111000110110010 (23 bits)
Octal	0o21470662
Hexadecimal	0x4671B2

Divisor Catalog (32)

1 2 7 14 29 58 83 137 166 203 274 406 581 959 1,162 1,918 2,407 3,973 4,814 7,946 11,371 16,849 22,742 27,811 33,698 55,622 79,597 159,194 329,759 659,518 2,308,313 4,616,626

Collatz Trajectory (211 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,616,626 2,308,313 6,924,940 3,462,470 1,731,235 5,193,706 2,596,853 7,790,560 3,895,280 1,947,640 973,820 486,910 243,455 730,366 365,183 1,095,550 547,775 1,643,326 821,663 2,464,990 1,232,495 3,697,486 1,848,743 5,546,230 2,773,115 8,319,346 4,159,673 12,479,020 6,239,510 3,119,755 9,359,266 4,679,633 14,038,900 7,019,450 3,509,725 10,529,176 5,264,588 2,632,294 1,316,147 3,948,442 1,974,221 5,922,664 2,961,332 1,480,666 740,333 2,221,000 1,110,500 555,250 277,625 832,876 416,438 208,219 624,658 312,329 936,988 468,494 234,247 702,742 351,371 1,054,114

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