36,901,440

2⁶ × 3³ × 5 × 4271

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 4271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 130,210,560

Proper Divisor Sum 93,309,120

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #36901433 ← → #36901471

Radix Representation

Decimal	36901440
Binary	10001100110001001001000000 (26 bits)
Octal	0o214611100
Hexadecimal	0x2331240

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1,080 1,440 1,728 2,160 2,880 4,271 4,320 8,542 8,640 12,813 17,084

Collatz Trajectory (214 steps to reach 1)

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

36,901,440 18,450,720 9,225,360 4,612,680 2,306,340 1,153,170 576,585 1,729,756 864,878 432,439 1,297,318 648,659 1,945,978 972,989 2,918,968 1,459,484 729,742 364,871 1,094,614 547,307 1,641,922 820,961 2,462,884 1,231,442 615,721 1,847,164 923,582 461,791 1,385,374 692,687 2,078,062 1,039,031 3,117,094 1,558,547 4,675,642 2,337,821 7,013,464 3,506,732 1,753,366 876,683 2,630,050 1,315,025 3,945,076 1,972,538 986,269 2,958,808 1,479,404 739,702 369,851 1,109,554 554,777 1,664,332 832,166 416,083 1,248,250 624,125 1,872,376 936,188 468,094 234,047

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