λ
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Atlas › Integer Profiles › Node 45,784,804

45,784,804

22 × 132 × 89 × 761
Deficient Even Composite

45,784,804 factors as 2^2 × 13^2 × 89 × 761. Its 36 positive divisors give a proper-divisor sum of 42,066,176, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 89 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 87,850,980
Proper Divisor Sum 42,066,176
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #45784777 ← → #45784829

Radix Representation

Decimal 45784804
Binary 10101110101001111011100100 (26 bits)
Octal 0o256517344
Hexadecimal 0x2BA9EE4

Divisor Catalog (36)

1 2 4 13 26 52 89 169 178 338 356 676 761 1,157 1,522 2,314 3,044 4,628 9,893 15,041 19,786 30,082 39,572 60,164 67,729 128,609 135,458 257,218 270,916 514,436 880,477 1,760,954 3,521,908 11,446,201 22,892,402 45,784,804

Collatz Trajectory (155 steps to reach 1)

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

45,784,804 22,892,402 11,446,201 34,338,604 17,169,302 8,584,651 25,753,954 12,876,977 38,630,932 19,315,466 9,657,733 28,973,200 14,486,600 7,243,300 3,621,650 1,810,825 5,432,476 2,716,238 1,358,119 4,074,358 2,037,179 6,111,538 3,055,769 9,167,308 4,583,654 2,291,827 6,875,482 3,437,741 10,313,224 5,156,612 2,578,306 1,289,153 3,867,460 1,933,730 966,865 2,900,596 1,450,298 725,149 2,175,448 1,087,724 543,862 271,931 815,794 407,897 1,223,692 611,846 305,923 917,770 458,885 1,376,656 688,328 344,164 172,082 86,041 258,124 129,062 64,531 193,594 96,797 290,392

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