λ
Prime Ledger

6,123,430

2 × 5 × 31 × 19753
Deficient Even Composite

6,123,430 has the prime decomposition 2 × 5 × 31 × 19753. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 19753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,378,304
Proper Divisor Sum 5,254,874
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #6123427 ← → #6123443

Radix Representation

Decimal 6123430
Binary 10111010110111110100110 (23 bits)
Octal 0o27267646
Hexadecimal 0x5D6FA6

Divisor Catalog (16)

1 2 5 10 31 62 155 310 19,753 39,506 98,765 197,530 612,343 1,224,686 3,061,715 6,123,430

Collatz Trajectory (165 steps to reach 1)

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

6,123,430 3,061,715 9,185,146 4,592,573 13,777,720 6,888,860 3,444,430 1,722,215 5,166,646 2,583,323 7,749,970 3,874,985 11,624,956 5,812,478 2,906,239 8,718,718 4,359,359 13,078,078 6,539,039 19,617,118 9,808,559 29,425,678 14,712,839 44,138,518 22,069,259 66,207,778 33,103,889 99,311,668 49,655,834 24,827,917 74,483,752 37,241,876 18,620,938 9,310,469 27,931,408 13,965,704 6,982,852 3,491,426 1,745,713 5,237,140 2,618,570 1,309,285 3,927,856 1,963,928 981,964 490,982 245,491 736,474 368,237 1,104,712 552,356 276,178 138,089 414,268 207,134 103,567 310,702 155,351 466,054 233,027

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