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Atlas › Integer Profiles › Node 5,201,016

5,201,016

23 × 3 × 37 × 5857
Abundant Even Composite

5,201,016 factors as 2^3 × 3 × 37 × 5857. Its 32 positive divisors give a proper-divisor sum of 8,155,224, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,356,240
Proper Divisor Sum 8,155,224
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5200999 ← → #5201023

Radix Representation

Decimal 5201016
Binary 10011110101110001111000 (23 bits)
Octal 0o23656170
Hexadecimal 0x4F5C78

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 5,857 11,714 17,571 23,428 35,142 46,856 70,284 140,568 216,709 433,418 650,127 866,836 1,300,254 1,733,672 2,600,508 5,201,016

Collatz Trajectory (100 steps to reach 1)

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

5,201,016 2,600,508 1,300,254 650,127 1,950,382 975,191 2,925,574 1,462,787 4,388,362 2,194,181 6,582,544 3,291,272 1,645,636 822,818 411,409 1,234,228 617,114 308,557 925,672 462,836 231,418 115,709 347,128 173,564 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992

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