λ
Ratio Atlas

72,048,623

72048623
Deficient Odd Prime

72,048,623 factors as 72048623. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 72048623
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 72,048,624
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #72048611 ← → #72048631

Radix Representation

Decimal 72048623
Binary 100010010110101111111101111 (27 bits)
Octal 0o422657757
Hexadecimal 0x44B5FEF

Divisor Catalog (2)

Collatz Trajectory (202 steps to reach 1)

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

72,048,623 216,145,870 108,072,935 324,218,806 162,109,403 486,328,210 243,164,105 729,492,316 364,746,158 182,373,079 547,119,238 273,559,619 820,678,858 410,339,429 1,231,018,288 615,509,144 307,754,572 153,877,286 76,938,643 230,815,930 115,407,965 346,223,896 173,111,948 86,555,974 43,277,987 129,833,962 64,916,981 194,750,944 97,375,472 48,687,736 24,343,868 12,171,934 6,085,967 18,257,902 9,128,951 27,386,854 13,693,427 41,080,282 20,540,141 61,620,424 30,810,212 15,405,106 7,702,553 23,107,660 11,553,830 5,776,915 17,330,746 8,665,373 25,996,120 12,998,060 6,499,030 3,249,515 9,748,546 4,874,273 14,622,820 7,311,410 3,655,705 10,967,116 5,483,558 2,741,779

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