λ
Ratio Atlas

3,101,517

33 × 313 × 367
Deficient Odd Composite

3,101,517 factors as 3^3 × 313 × 367. Its 16 positive divisors give a proper-divisor sum of 1,520,563, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^3 × 313 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,622,080
Proper Divisor Sum 1,520,563
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3101509 ← → #3101537

Radix Representation

Decimal 3101517
Binary 1011110101001101001101 (22 bits)
Octal 0o13651515
Hexadecimal 0x2F534D

Divisor Catalog (16)

1 3 9 27 313 367 939 1,101 2,817 3,303 8,451 9,909 114,871 344,613 1,033,839 3,101,517

Collatz Trajectory (164 steps to reach 1)

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

3,101,517 9,304,552 4,652,276 2,326,138 1,163,069 3,489,208 1,744,604 872,302 436,151 1,308,454 654,227 1,962,682 981,341 2,944,024 1,472,012 736,006 368,003 1,104,010 552,005 1,656,016 828,008 414,004 207,002 103,501 310,504 155,252 77,626 38,813 116,440 58,220 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676

More profiles

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