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Atlas › Integer Profiles › Node 2,133,716

2,133,716

22 × 13 × 37 × 1109
Deficient Even Composite

2,133,716 factors as 2^2 × 13 × 37 × 1109. Its 24 positive divisors give a proper-divisor sum of 1,999,924, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,133,640
Proper Divisor Sum 1,999,924
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2133713 ← → #2133739

Radix Representation

Decimal 2133716
Binary 1000001000111011010100 (22 bits)
Octal 0o10107324
Hexadecimal 0x208ED4

Divisor Catalog (24)

1 2 4 13 26 37 52 74 148 481 962 1,109 1,924 2,218 4,436 14,417 28,834 41,033 57,668 82,066 164,132 533,429 1,066,858 2,133,716

Collatz Trajectory (73 steps to reach 1)

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

2,133,716 1,066,858 533,429 1,600,288 800,144 400,072 200,036 100,018 50,009 150,028 75,014 37,507 112,522 56,261 168,784 84,392 42,196 21,098 10,549 31,648 15,824 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

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