λ
Ratio Atlas

72,039,635

5 × 14407927
Deficient Odd Composite

72,039,635 factors as 5 × 14407927. Its 4 positive divisors give a proper-divisor sum of 14,407,933, so this integer is deficient. The Collatz stopping time is 365 steps.

Prime Factor Structure

Factorization String 5 × 14407927
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 86,447,568
Proper Divisor Sum 14,407,933
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #72039623 ← → #72039637

Radix Representation

Decimal 72039635
Binary 100010010110011110011010011 (27 bits)
Octal 0o422636323
Hexadecimal 0x44B3CD3

Divisor Catalog (4)

Collatz Trajectory (365 steps to reach 1)

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

72,039,635 216,118,906 108,059,453 324,178,360 162,089,180 81,044,590 40,522,295 121,566,886 60,783,443 182,350,330 91,175,165 273,525,496 136,762,748 68,381,374 34,190,687 102,572,062 51,286,031 153,858,094 76,929,047 230,787,142 115,393,571 346,180,714 173,090,357 519,271,072 259,635,536 129,817,768 64,908,884 32,454,442 16,227,221 48,681,664 24,340,832 12,170,416 6,085,208 3,042,604 1,521,302 760,651 2,281,954 1,140,977 3,422,932 1,711,466 855,733 2,567,200 1,283,600 641,800 320,900 160,450 80,225 240,676 120,338 60,169 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612 152,306 76,153

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