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Atlas › Integer Profiles › Node 45,877,436

45,877,436

22 × 11 × 53 × 103 × 191
Deficient Even Composite

45,877,436 factors as 2^2 × 11 × 53 × 103 × 191. Its 48 positive divisors give a proper-divisor sum of 44,697,412, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 53 × 103 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 90,574,848
Proper Divisor Sum 44,697,412
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #45877423 ← → #45877439

Radix Representation

Decimal 45877436
Binary 10101111000000100010111100 (26 bits)
Octal 0o257004274
Hexadecimal 0x2BC08BC

Divisor Catalog (48)

1 2 4 11 22 44 53 103 106 191 206 212 382 412 583 764 1,133 1,166 2,101 2,266 2,332 4,202 4,532 5,459 8,404 10,123 10,918 19,673 20,246 21,836 39,346 40,492 60,049 78,692 111,353 120,098 216,403 222,706 240,196 432,806 445,412 865,612 1,042,669 2,085,338 4,170,676 11,469,359 22,938,718 45,877,436

Collatz Trajectory (204 steps to reach 1)

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

45,877,436 22,938,718 11,469,359 34,408,078 17,204,039 51,612,118 25,806,059 77,418,178 38,709,089 116,127,268 58,063,634 29,031,817 87,095,452 43,547,726 21,773,863 65,321,590 32,660,795 97,982,386 48,991,193 146,973,580 73,486,790 36,743,395 110,230,186 55,115,093 165,345,280 82,672,640 41,336,320 20,668,160 10,334,080 5,167,040 2,583,520 1,291,760 645,880 322,940 161,470 80,735 242,206 121,103 363,310 181,655 544,966 272,483 817,450 408,725 1,226,176 613,088 306,544 153,272 76,636 38,318 19,159 57,478 28,739 86,218 43,109 129,328 64,664 32,332 16,166 8,083

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