λ
Prime Ledger

5,072,690

2 × 5 × 7 × 72467
Abundant Even Composite

5,072,690 has the prime decomposition 2 × 5 × 7 × 72467. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 72467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,435,392
Proper Divisor Sum 5,362,702
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5072689 ← → #5072693

Radix Representation

Decimal 5072690
Binary 10011010110011100110010 (23 bits)
Octal 0o23263462
Hexadecimal 0x4D6732

Divisor Catalog (16)

1 2 5 7 10 14 35 70 72,467 144,934 362,335 507,269 724,670 1,014,538 2,536,345 5,072,690

Collatz Trajectory (157 steps to reach 1)

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

5,072,690 2,536,345 7,609,036 3,804,518 1,902,259 5,706,778 2,853,389 8,560,168 4,280,084 2,140,042 1,070,021 3,210,064 1,605,032 802,516 401,258 200,629 601,888 300,944 150,472 75,236 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380

More profiles

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