λ
Prime Ledger

9,625,513

37 × 157 × 1657
Deficient Odd Composite

9,625,513 has the prime decomposition 37 × 157 × 1657. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 157 × 1657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,954,632
Proper Divisor Sum 329,119
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9625501 ← → #9625579

Radix Representation

Decimal 9625513
Binary 100100101101111110101001 (24 bits)
Octal 0o44557651
Hexadecimal 0x92DFA9

Divisor Catalog (8)

1 37 157 1,657 5,809 61,309 260,149 9,625,513

Collatz Trajectory (238 steps to reach 1)

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

9,625,513 28,876,540 14,438,270 7,219,135 21,657,406 10,828,703 32,486,110 16,243,055 48,729,166 24,364,583 73,093,750 36,546,875 109,640,626 54,820,313 164,460,940 82,230,470 41,115,235 123,345,706 61,672,853 185,018,560 92,509,280 46,254,640 23,127,320 11,563,660 5,781,830 2,890,915 8,672,746 4,336,373 13,009,120 6,504,560 3,252,280 1,626,140 813,070 406,535 1,219,606 609,803 1,829,410 914,705 2,744,116 1,372,058 686,029 2,058,088 1,029,044 514,522 257,261 771,784 385,892 192,946 96,473 289,420 144,710 72,355 217,066 108,533 325,600 162,800 81,400 40,700 20,350 10,175

More profiles

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