5,072,676

2² × 3 × 7² × 8627

Starting at 5,072,676, the Collatz iteration reaches 1 after 113 steps. The first transition is 2536338; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 8627

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,770,288

Proper Divisor Sum 8,697,612

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5072671 ← → #5072687

Radix Representation

Decimal	5072676
Binary	10011010110011100100100 (23 bits)
Octal	0o23263444
Hexadecimal	0x4D6724

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 8,627 17,254 25,881 34,508 51,762 60,389 103,524 120,778 181,167 241,556 362,334 422,723 724,668 845,446 1,268,169 1,690,892 2,536,338 5,072,676

Collatz Trajectory (113 steps to reach 1)

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

5,072,676 2,536,338 1,268,169 3,804,508 1,902,254 951,127 2,853,382 1,426,691 4,280,074 2,140,037 6,420,112 3,210,056 1,605,028 802,514 401,257 1,203,772 601,886 300,943 902,830 451,415 1,354,246 677,123 2,031,370 1,015,685 3,047,056 1,523,528 761,764 380,882 190,441 571,324 285,662 142,831 428,494 214,247 642,742 321,371 964,114 482,057 1,446,172 723,086 361,543 1,084,630 542,315 1,626,946 813,473 2,440,420 1,220,210 610,105 1,830,316 915,158 457,579 1,372,738 686,369 2,059,108 1,029,554 514,777 1,544,332 772,166 386,083 1,158,250

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