7,579,280

2⁴ × 5 × 17 × 5573

Starting at 7,579,280, the Collatz iteration reaches 1 after 129 steps. The first transition is 3789640; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 5573

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,661,752

Proper Divisor Sum 11,082,472

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7579279 ← → #7579307

Radix Representation

Decimal	7579280
Binary	11100111010011010010000 (23 bits)
Octal	0o34723220
Hexadecimal	0x73A690

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 5,573 11,146 22,292 27,865 44,584 55,730 89,168 94,741 111,460 189,482 222,920 378,964 445,840 473,705 757,928 947,410 1,515,856 1,894,820 3,789,640 7,579,280

Collatz Trajectory (129 steps to reach 1)

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

7,579,280 3,789,640 1,894,820 947,410 473,705 1,421,116 710,558 355,279 1,065,838 532,919 1,598,758 799,379 2,398,138 1,199,069 3,597,208 1,798,604 899,302 449,651 1,348,954 674,477 2,023,432 1,011,716 505,858 252,929 758,788 379,394 189,697 569,092 284,546 142,273 426,820 213,410 106,705 320,116 160,058 80,029 240,088 120,044 60,022 30,011 90,034 45,017 135,052 67,526 33,763 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336

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