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Atlas › Integer Profiles › Node 5,772,336

5,772,336

24 × 3 × 53 × 2269
Abundant Even Composite

5,772,336 factors as 2^4 × 3 × 53 × 2269. Its 40 positive divisors give a proper-divisor sum of 9,427,584, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 53 × 2269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,199,920
Proper Divisor Sum 9,427,584
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5772317 ← → #5772337

Radix Representation

Decimal 5772336
Binary 10110000001010000110000 (23 bits)
Octal 0o26012060
Hexadecimal 0x581430

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1,272 2,269 2,544 4,538 6,807 9,076 13,614 18,152 27,228 36,304 54,456 108,912 120,257 240,514 360,771 481,028 721,542 962,056 1,443,084 1,924,112 2,886,168 5,772,336

Collatz Trajectory (214 steps to reach 1)

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

5,772,336 2,886,168 1,443,084 721,542 360,771 1,082,314 541,157 1,623,472 811,736 405,868 202,934 101,467 304,402 152,201 456,604 228,302 114,151 342,454 171,227 513,682 256,841 770,524 385,262 192,631 577,894 288,947 866,842 433,421 1,300,264 650,132 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103

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