7,525,126

2 × 7² × 31 × 2477

7,525,126 factors as 2 × 7^2 × 31 × 2477. Its 24 positive divisors give a proper-divisor sum of 6,034,490, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 31 × 2477

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,559,616

Proper Divisor Sum 6,034,490

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7525109 ← → #7525127

Radix Representation

Decimal	7525126
Binary	11100101101001100000110 (23 bits)
Octal	0o34551406
Hexadecimal	0x72D306

Divisor Catalog (24)

1 2 7 14 31 49 62 98 217 434 1,519 2,477 3,038 4,954 17,339 34,678 76,787 121,373 153,574 242,746 537,509 1,075,018 3,762,563 7,525,126

Collatz Trajectory (173 steps to reach 1)

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

7,525,126 3,762,563 11,287,690 5,643,845 16,931,536 8,465,768 4,232,884 2,116,442 1,058,221 3,174,664 1,587,332 793,666 396,833 1,190,500 595,250 297,625 892,876 446,438 223,219 669,658 334,829 1,004,488 502,244 251,122 125,561 376,684 188,342 94,171 282,514 141,257 423,772 211,886 105,943 317,830 158,915 476,746 238,373 715,120 357,560 178,780 89,390 44,695 134,086 67,043 201,130 100,565 301,696 150,848 75,424 37,712 18,856 9,428 4,714 2,357 7,072 3,536 1,768 884 442 221

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