λ
Harmonic Matrix

3,117,313

271 × 11503
Deficient Odd Composite

3,117,313 has digital root 1. The neighboring primes are 3117299 and 3117421; its proper-divisor sum differs from the starting integer by -3,105,538.

Prime Factor Structure

Factorization String 271 × 11503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,129,088
Proper Divisor Sum 11,775
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3117299 ← → #3117421

Radix Representation

Decimal 3117313
Binary 1011111001000100000001 (22 bits)
Octal 0o13710401
Hexadecimal 0x2F9101

Divisor Catalog (4)

1 271 11,503 3,117,313

Collatz Trajectory (164 steps to reach 1)

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

3,117,313 9,351,940 4,675,970 2,337,985 7,013,956 3,506,978 1,753,489 5,260,468 2,630,234 1,315,117 3,945,352 1,972,676 986,338 493,169 1,479,508 739,754 369,877 1,109,632 554,816 277,408 138,704 69,352 34,676 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94

More profiles

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