λ
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Atlas › Integer Profiles › Node 72,599,254

72,599,254

2 × 7 × 13 × 37 × 10781
Deficient Even Composite

72,599,254 factors as 2 × 7 × 13 × 37 × 10781. Its 32 positive divisors give a proper-divisor sum of 65,065,322, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 37 × 10781
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 137,664,576
Proper Divisor Sum 65,065,322
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #72599239 ← → #72599287

Radix Representation

Decimal 72599254
Binary 100010100111100011011010110 (27 bits)
Octal 0o424743326
Hexadecimal 0x453C6D6

Divisor Catalog (32)

1 2 7 13 14 26 37 74 91 182 259 481 518 962 3,367 6,734 10,781 21,562 75,467 140,153 150,934 280,306 398,897 797,794 981,071 1,962,142 2,792,279 5,185,661 5,584,558 10,371,322 36,299,627 72,599,254

Collatz Trajectory (184 steps to reach 1)

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

72,599,254 36,299,627 108,898,882 54,449,441 163,348,324 81,674,162 40,837,081 122,511,244 61,255,622 30,627,811 91,883,434 45,941,717 137,825,152 68,912,576 34,456,288 17,228,144 8,614,072 4,307,036 2,153,518 1,076,759 3,230,278 1,615,139 4,845,418 2,422,709 7,268,128 3,634,064 1,817,032 908,516 454,258 227,129 681,388 340,694 170,347 511,042 255,521 766,564 383,282 191,641 574,924 287,462 143,731 431,194 215,597 646,792 323,396 161,698 80,849 242,548 121,274 60,637 181,912 90,956 45,478 22,739 68,218 34,109 102,328 51,164 25,582 12,791

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