2,564,984

2³ × 491 × 653

Starting at 2,564,984, the Collatz iteration reaches 1 after 73 steps. The first transition is 1282492; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 491 × 653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,826,520

Proper Divisor Sum 2,261,536

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2564957 ← → #2564999

Radix Representation

Decimal	2564984
Binary	1001110010001101111000 (22 bits)
Octal	0o11621570
Hexadecimal	0x272378

Divisor Catalog (16)

1 2 4 8 491 653 982 1,306 1,964 2,612 3,928 5,224 320,623 641,246 1,282,492 2,564,984

Collatz Trajectory (73 steps to reach 1)

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

2,564,984 1,282,492 641,246 320,623 961,870 480,935 1,442,806 721,403 2,164,210 1,082,105 3,246,316 1,623,158 811,579 2,434,738 1,217,369 3,652,108 1,826,054 913,027 2,739,082 1,369,541 4,108,624 2,054,312 1,027,156 513,578 256,789 770,368 385,184 192,592 96,296 48,148 24,074 12,037 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

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