λ
Prime Ledger

3,117,440

27 × 5 × 4871
Abundant Even Composite

3,117,440 has the prime decomposition 2^7 × 5 × 4871. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 5 × 4871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,454,160
Proper Divisor Sum 4,336,720
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3117437 ← → #3117451

Radix Representation

Decimal 3117440
Binary 1011111001000110000000 (22 bits)
Octal 0o13710600
Hexadecimal 0x2F9180

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 4,871 9,742 19,484 24,355 38,968 48,710 77,936 97,420 155,872 194,840 311,744 389,680 623,488 779,360 1,558,720 3,117,440

Collatz Trajectory (71 steps to reach 1)

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

3,117,440 1,558,720 779,360 389,680 194,840 97,420 48,710 24,355 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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