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Atlas › Integer Profiles › Node 36,946,002

36,946,002

2 × 3 × 41 × 101 × 1487
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 41 × 101 × 1487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 76,495,104
Proper Divisor Sum 39,549,102
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36945991 ← → #36946037

Radix Representation

Decimal 36946002
Binary 10001100111100000001010010 (26 bits)
Octal 0o214740122
Hexadecimal 0x233C052

Divisor Catalog (32)

1 2 3 6 41 82 101 123 202 246 303 606 1,487 2,974 4,141 4,461 8,282 8,922 12,423 24,846 60,967 121,934 150,187 182,901 300,374 365,802 450,561 901,122 6,157,667 12,315,334 18,473,001 36,946,002

Collatz Trajectory (188 steps to reach 1)

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

36,946,002 18,473,001 55,419,004 27,709,502 13,854,751 41,564,254 20,782,127 62,346,382 31,173,191 93,519,574 46,759,787 140,279,362 70,139,681 210,419,044 105,209,522 52,604,761 157,814,284 78,907,142 39,453,571 118,360,714 59,180,357 177,541,072 88,770,536 44,385,268 22,192,634 11,096,317 33,288,952 16,644,476 8,322,238 4,161,119 12,483,358 6,241,679 18,725,038 9,362,519 28,087,558 14,043,779 42,131,338 21,065,669 63,197,008 31,598,504 15,799,252 7,899,626 3,949,813 11,849,440 5,924,720 2,962,360 1,481,180 740,590 370,295 1,110,886 555,443 1,666,330 833,165 2,499,496 1,249,748 624,874 312,437 937,312 468,656 234,328

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