2,577,876

2² × 3 × 7 × 30689

Starting at 2,577,876, the Collatz iteration reaches 1 after 99 steps. The first transition is 1288938; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 30689

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,874,560

Proper Divisor Sum 4,296,684

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2577871 ← → #2577877

Radix Representation

Decimal	2577876
Binary	1001110101010111010100 (22 bits)
Octal	0o11652724
Hexadecimal	0x2755D4

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 30,689 61,378 92,067 122,756 184,134 214,823 368,268 429,646 644,469 859,292 1,288,938 2,577,876

Collatz Trajectory (99 steps to reach 1)

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

2,577,876 1,288,938 644,469 1,933,408 966,704 483,352 241,676 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

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