4,162,678

2 × 13 × 23 × 6961

4,162,678 factors as 2 × 13 × 23 × 6961. Its 16 positive divisors give a proper-divisor sum of 2,855,018, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 6961

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,017,696

Proper Divisor Sum 2,855,018

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4162667 ← → #4162681

Radix Representation

Decimal	4162678
Binary	1111111000010001110110 (22 bits)
Octal	0o17702166
Hexadecimal	0x3F8476

Divisor Catalog (16)

1 2 13 23 26 46 299 598 6,961 13,922 90,493 160,103 180,986 320,206 2,081,339 4,162,678

Collatz Trajectory (105 steps to reach 1)

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

4,162,678 2,081,339 6,244,018 3,122,009 9,366,028 4,683,014 2,341,507 7,024,522 3,512,261 10,536,784 5,268,392 2,634,196 1,317,098 658,549 1,975,648 987,824 493,912 246,956 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070 19,535 58,606 29,303 87,910 43,955 131,866 65,933 197,800 98,900 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734

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