λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,204

36,918,204

22 × 3 × 41 × 75037
Abundant Even Composite

36,918,204 factors as 2^2 × 3 × 41 × 75037. Its 24 positive divisors give a proper-divisor sum of 51,326,484, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 75037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 88,244,688
Proper Divisor Sum 51,326,484
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36918181 ← → #36918229

Radix Representation

Decimal 36918204
Binary 10001100110101001110111100 (26 bits)
Octal 0o214651674
Hexadecimal 0x23353BC

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 75,037 150,074 225,111 300,148 450,222 900,444 3,076,517 6,153,034 9,229,551 12,306,068 18,459,102 36,918,204

Collatz Trajectory (165 steps to reach 1)

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

36,918,204 18,459,102 9,229,551 27,688,654 13,844,327 41,532,982 20,766,491 62,299,474 31,149,737 93,449,212 46,724,606 23,362,303 70,086,910 35,043,455 105,130,366 52,565,183 157,695,550 78,847,775 236,543,326 118,271,663 354,814,990 177,407,495 532,222,486 266,111,243 798,333,730 399,166,865 1,197,500,596 598,750,298 299,375,149 898,125,448 449,062,724 224,531,362 112,265,681 336,797,044 168,398,522 84,199,261 252,597,784 126,298,892 63,149,446 31,574,723 94,724,170 47,362,085 142,086,256 71,043,128 35,521,564 17,760,782 8,880,391 26,641,174 13,320,587 39,961,762 19,980,881 59,942,644 29,971,322 14,985,661 44,956,984 22,478,492 11,239,246 5,619,623 16,858,870 8,429,435

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,918,203 Browse Full Index Next Integer #36,918,205 →