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Atlas › Integer Profiles › Node 4,388,364

4,388,364

22 × 33 × 179 × 227
Abundant Even Composite

4,388,364 factors as 2^2 × 3^3 × 179 × 227. Its 48 positive divisors give a proper-divisor sum of 7,102,836, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 179 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,491,200
Proper Divisor Sum 7,102,836
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4388359 ← → #4388381

Radix Representation

Decimal 4388364
Binary 10000101111011000001100 (23 bits)
Octal 0o20573014
Hexadecimal 0x42F60C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 179 227 358 454 537 681 716 908 1,074 1,362 1,611 2,043 2,148 2,724 3,222 4,086 4,833 6,129 6,444 8,172 9,666 12,258 19,332 24,516 40,633 81,266 121,899 162,532 243,798 365,697 487,596 731,394 1,097,091 1,462,788 2,194,182 4,388,364

Collatz Trajectory (92 steps to reach 1)

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

4,388,364 2,194,182 1,097,091 3,291,274 1,645,637 4,936,912 2,468,456 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 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642

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