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Atlas › Integer Profiles › Node 36,823,976

36,823,976

23 × 7 × 19 × 53 × 653
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 53 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 84,758,400
Proper Divisor Sum 47,934,424
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36823961 ← → #36823979

Radix Representation

Decimal 36823976
Binary 10001100011110001110101000 (26 bits)
Octal 0o214361650
Hexadecimal 0x231E3A8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 19 28 38 53 56 76 106 133 152 212 266 371 424 532 653 742 1,007 1,064 1,306 1,484 2,014 2,612 2,968 4,028 4,571 5,224 7,049 8,056 9,142 12,407 14,098 18,284 24,814 28,196 34,609 36,568 49,628 56,392 69,218 86,849 99,256 138,436 173,698 242,263 276,872 347,396 484,526 657,571 694,792 969,052 1,315,142 1,938,104 2,630,284 4,602,997

Collatz Trajectory (103 steps to reach 1)

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

36,823,976 18,411,988 9,205,994 4,602,997 13,808,992 6,904,496 3,452,248 1,726,124 863,062 431,531 1,294,594 647,297 1,941,892 970,946 485,473 1,456,420 728,210 364,105 1,092,316 546,158 273,079 819,238 409,619 1,228,858 614,429 1,843,288 921,644 460,822 230,411 691,234 345,617 1,036,852 518,426 259,213 777,640 388,820 194,410 97,205 291,616 145,808 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082

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