λ
Prime Ledger

7,745,908

22 × 31 × 62467
Deficient Even Composite

7,745,908 has the prime decomposition 2^2 × 31 × 62467. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 62467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,992,832
Proper Divisor Sum 6,246,924
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7745893 ← → #7745911

Radix Representation

Decimal 7745908
Binary 11101100011000101110100 (23 bits)
Octal 0o35430564
Hexadecimal 0x763174

Divisor Catalog (12)

1 2 4 31 62 124 62,467 124,934 249,868 1,936,477 3,872,954 7,745,908

Collatz Trajectory (217 steps to reach 1)

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

7,745,908 3,872,954 1,936,477 5,809,432 2,904,716 1,452,358 726,179 2,178,538 1,089,269 3,267,808 1,633,904 816,952 408,476 204,238 102,119 306,358 153,179 459,538 229,769 689,308 344,654 172,327 516,982 258,491 775,474 387,737 1,163,212 581,606 290,803 872,410 436,205 1,308,616 654,308 327,154 163,577 490,732 245,366 122,683 368,050 184,025 552,076 276,038 138,019 414,058 207,029 621,088 310,544 155,272 77,636 38,818 19,409 58,228 29,114 14,557 43,672 21,836 10,918 5,459 16,378 8,189

More profiles

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