λ
Prime Ledger

3,713,927

7 × 431 × 1231
Deficient Odd Composite

3,713,927 has the prime decomposition 7 × 431 × 1231. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 431 × 1231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,257,792
Proper Divisor Sum 543,865
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3713923 ← → #3713929

Radix Representation

Decimal 3713927
Binary 1110001010101110000111 (22 bits)
Octal 0o16125607
Hexadecimal 0x38AB87

Divisor Catalog (8)

1 7 431 1,231 3,017 8,617 530,561 3,713,927

Collatz Trajectory (79 steps to reach 1)

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

3,713,927 11,141,782 5,570,891 16,712,674 8,356,337 25,069,012 12,534,506 6,267,253 18,801,760 9,400,880 4,700,440 2,350,220 1,175,110 587,555 1,762,666 881,333 2,644,000 1,322,000 661,000 330,500 165,250 82,625 247,876 123,938 61,969 185,908 92,954 46,477 139,432 69,716 34,858 17,429 52,288 26,144 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112

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