λ
Harmonic Matrix

3,117,016

23 × 7 × 55661
Abundant Even Composite

3,117,016 has digital root 1. The neighboring primes are 3117013 and 3117031; its proper-divisor sum differs from the starting integer by 445,408.

Prime Factor Structure

Factorization String 2^3 × 7 × 55661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,679,440
Proper Divisor Sum 3,562,424
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3117013 ← → #3117031

Radix Representation

Decimal 3117016
Binary 1011111000111111011000 (22 bits)
Octal 0o13707730
Hexadecimal 0x2F8FD8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 55,661 111,322 222,644 389,627 445,288 779,254 1,558,508 3,117,016

Collatz Trajectory (151 steps to reach 1)

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

3,117,016 1,558,508 779,254 389,627 1,168,882 584,441 1,753,324 876,662 438,331 1,314,994 657,497 1,972,492 986,246 493,123 1,479,370 739,685 2,219,056 1,109,528 554,764 277,382 138,691 416,074 208,037 624,112 312,056 156,028 78,014 39,007 117,022 58,511 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296

More profiles

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