7,732,570

2 × 5 × 139 × 5563

Starting at 7,732,570, the Collatz iteration reaches 1 after 186 steps. The first transition is 3866285; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 139 × 5563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,021,280

Proper Divisor Sum 6,288,710

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7732567 ← → #7732579

Radix Representation

Decimal	7732570
Binary	11101011111110101011010 (23 bits)
Octal	0o35376532
Hexadecimal	0x75FD5A

Divisor Catalog (16)

1 2 5 10 139 278 695 1,390 5,563 11,126 27,815 55,630 773,257 1,546,514 3,866,285 7,732,570

Collatz Trajectory (186 steps to reach 1)

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

7,732,570 3,866,285 11,598,856 5,799,428 2,899,714 1,449,857 4,349,572 2,174,786 1,087,393 3,262,180 1,631,090 815,545 2,446,636 1,223,318 611,659 1,834,978 917,489 2,752,468 1,376,234 688,117 2,064,352 1,032,176 516,088 258,044 129,022 64,511 193,534 96,767 290,302 145,151 435,454 217,727 653,182 326,591 979,774 489,887 1,469,662 734,831 2,204,494 1,102,247 3,306,742 1,653,371 4,960,114 2,480,057 7,440,172 3,720,086 1,860,043 5,580,130 2,790,065 8,370,196 4,185,098 2,092,549 6,277,648 3,138,824 1,569,412 784,706 392,353 1,177,060 588,530 294,265

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