7,495,605

3³ × 5 × 13 × 4271

Starting at 7,495,605, the Collatz iteration reaches 1 after 116 steps. The first transition is 22486816; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 4271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,353,920

Proper Divisor Sum 6,858,315

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7495597 ← → #7495637

Radix Representation

Decimal	7495605
Binary	11100100101111110110101 (23 bits)
Octal	0o34457665
Hexadecimal	0x725FB5

Divisor Catalog (32)

1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1,755 4,271 12,813 21,355 38,439 55,523 64,065 115,317 166,569 192,195 277,615 499,707 576,585 832,845 1,499,121 2,498,535 7,495,605

Collatz Trajectory (116 steps to reach 1)

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

7,495,605 22,486,816 11,243,408 5,621,704 2,810,852 1,405,426 702,713 2,108,140 1,054,070 527,035 1,581,106 790,553 2,371,660 1,185,830 592,915 1,778,746 889,373 2,668,120 1,334,060 667,030 333,515 1,000,546 500,273 1,500,820 750,410 375,205 1,125,616 562,808 281,404 140,702 70,351 211,054 105,527 316,582 158,291 474,874 237,437 712,312 356,156 178,078 89,039 267,118 133,559 400,678 200,339 601,018 300,509 901,528 450,764 225,382 112,691 338,074 169,037 507,112 253,556 126,778 63,389 190,168 95,084 47,542

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