2,402,757

3³ × 7 × 12713

Starting at 2,402,757, the Collatz iteration reaches 1 after 91 steps. The first transition is 7208272; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 12713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,068,480

Proper Divisor Sum 1,665,723

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2402753 ← → #2402761

Radix Representation

Decimal	2402757
Binary	1001001010100111000101 (22 bits)
Octal	0o11124705
Hexadecimal	0x24A9C5

Divisor Catalog (16)

1 3 7 9 21 27 63 189 12,713 38,139 88,991 114,417 266,973 343,251 800,919 2,402,757

Collatz Trajectory (91 steps to reach 1)

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

2,402,757 7,208,272 3,604,136 1,802,068 901,034 450,517 1,351,552 675,776 337,888 168,944 84,472 42,236 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542

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