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Atlas › Integer Profiles › Node 36,373,264

36,373,264

24 × 53 × 59 × 727
Abundant Even Composite

36,373,264 factors as 2^4 × 53 × 59 × 727. Its 40 positive divisors give a proper-divisor sum of 36,747,056, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 53 × 59 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 73,120,320
Proper Divisor Sum 36,747,056
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36373247 ← → #36373283

Radix Representation

Decimal 36373264
Binary 10001010110000001100010000 (26 bits)
Octal 0o212601420
Hexadecimal 0x22B0310

Divisor Catalog (40)

1 2 4 8 16 53 59 106 118 212 236 424 472 727 848 944 1,454 2,908 3,127 5,816 6,254 11,632 12,508 25,016 38,531 42,893 50,032 77,062 85,786 154,124 171,572 308,248 343,144 616,496 686,288 2,273,329 4,546,658 9,093,316 18,186,632 36,373,264

Collatz Trajectory (183 steps to reach 1)

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

36,373,264 18,186,632 9,093,316 4,546,658 2,273,329 6,819,988 3,409,994 1,704,997 5,114,992 2,557,496 1,278,748 639,374 319,687 959,062 479,531 1,438,594 719,297 2,157,892 1,078,946 539,473 1,618,420 809,210 404,605 1,213,816 606,908 303,454 151,727 455,182 227,591 682,774 341,387 1,024,162 512,081 1,536,244 768,122 384,061 1,152,184 576,092 288,046 144,023 432,070 216,035 648,106 324,053 972,160 486,080 243,040 121,520 60,760 30,380 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409

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