1,040,910

2 × 3 × 5 × 13 × 17 × 157

Starting at 1,040,910, the Collatz iteration reaches 1 after 134 steps. The first transition is 520455; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 17 × 157

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,866,752

Proper Divisor Sum 1,825,842

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1040899 ← → #1040929

Radix Representation

Decimal	1040910
Binary	11111110001000001110 (20 bits)
Octal	0o3761016
Hexadecimal	0xFE20E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 157 170 195 221 255 314 390 442 471 510 663 785 942 1,105 1,326 1,570 2,041 2,210 2,355 2,669 3,315 4,082 4,710 5,338 6,123 6,630 8,007 10,205 12,246 13,345 16,014 20,410 26,690 30,615 34,697 40,035 61,230 69,394 80,070 104,091 173,485

Collatz Trajectory (134 steps to reach 1)

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

1,040,910 520,455 1,561,366 780,683 2,342,050 1,171,025 3,513,076 1,756,538 878,269 2,634,808 1,317,404 658,702 329,351 988,054 494,027 1,482,082 741,041 2,223,124 1,111,562 555,781 1,667,344 833,672 416,836 208,418 104,209 312,628 156,314 78,157 234,472 117,236 58,618 29,309 87,928 43,964 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617

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