λ
Prime Ledger

6,123,002

2 × 29 × 229 × 461
Deficient Even Composite

6,123,002 has the prime decomposition 2 × 29 × 229 × 461. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 229 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,563,400
Proper Divisor Sum 3,440,398
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #6123001 ← → #6123011

Radix Representation

Decimal 6123002
Binary 10111010110110111111010 (23 bits)
Octal 0o27266772
Hexadecimal 0x5D6DFA

Divisor Catalog (16)

1 2 29 58 229 458 461 922 6,641 13,282 13,369 26,738 105,569 211,138 3,061,501 6,123,002

Collatz Trajectory (183 steps to reach 1)

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

6,123,002 3,061,501 9,184,504 4,592,252 2,296,126 1,148,063 3,444,190 1,722,095 5,166,286 2,583,143 7,749,430 3,874,715 11,624,146 5,812,073 17,436,220 8,718,110 4,359,055 13,077,166 6,538,583 19,615,750 9,807,875 29,423,626 14,711,813 44,135,440 22,067,720 11,033,860 5,516,930 2,758,465 8,275,396 4,137,698 2,068,849 6,206,548 3,103,274 1,551,637 4,654,912 2,327,456 1,163,728 581,864 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473

More profiles

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