2,461,416

2³ × 3 × 102559

Starting at 2,461,416, the Collatz iteration reaches 1 after 174 steps. The first transition is 1230708; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 102559

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,153,600

Proper Divisor Sum 3,692,184

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2461409 ← → #2461423

Radix Representation

Decimal	2461416
Binary	1001011000111011101000 (22 bits)
Octal	0o11307350
Hexadecimal	0x258EE8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 102,559 205,118 307,677 410,236 615,354 820,472 1,230,708 2,461,416

Collatz Trajectory (174 steps to reach 1)

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

2,461,416 1,230,708 615,354 307,677 923,032 461,516 230,758 115,379 346,138 173,069 519,208 259,604 129,802 64,901 194,704 97,352 48,676 24,338 12,169 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436

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