7,579,646

2 × 101 × 157 × 239

Starting at 7,579,646, the Collatz iteration reaches 1 after 129 steps. The first transition is 3789823; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 157 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,603,520

Proper Divisor Sum 4,023,874

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7579639 ← → #7579657

Radix Representation

Decimal	7579646
Binary	11100111010011111111110 (23 bits)
Octal	0o34723776
Hexadecimal	0x73A7FE

Divisor Catalog (16)

1 2 101 157 202 239 314 478 15,857 24,139 31,714 37,523 48,278 75,046 3,789,823 7,579,646

Collatz Trajectory (129 steps to reach 1)

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

7,579,646 3,789,823 11,369,470 5,684,735 17,054,206 8,527,103 25,581,310 12,790,655 38,371,966 19,185,983 57,557,950 28,778,975 86,336,926 43,168,463 129,505,390 64,752,695 194,258,086 97,129,043 291,387,130 145,693,565 437,080,696 218,540,348 109,270,174 54,635,087 163,905,262 81,952,631 245,857,894 122,928,947 368,786,842 184,393,421 553,180,264 276,590,132 138,295,066 69,147,533 207,442,600 103,721,300 51,860,650 25,930,325 77,790,976 38,895,488 19,447,744 9,723,872 4,861,936 2,430,968 1,215,484 607,742 303,871 911,614 455,807 1,367,422 683,711 2,051,134 1,025,567 3,076,702 1,538,351 4,615,054 2,307,527 6,922,582 3,461,291 10,383,874

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