73,201,624

2³ × 281 × 32563

73,201,624 factors as 2^3 × 281 × 32563. Its 16 positive divisors give a proper-divisor sum of 64,544,096, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^3 × 281 × 32563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 137,745,720

Proper Divisor Sum 64,544,096

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #73201613 ← → #73201627

Radix Representation

Decimal	73201624
Binary	100010111001111011111011000 (27 bits)
Octal	0o427173730
Hexadecimal	0x45CF7D8

Divisor Catalog (16)

1 2 4 8 281 562 1,124 2,248 32,563 65,126 130,252 260,504 9,150,203 18,300,406 36,600,812 73,201,624

Collatz Trajectory (197 steps to reach 1)

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

73,201,624 36,600,812 18,300,406 9,150,203 27,450,610 13,725,305 41,175,916 20,587,958 10,293,979 30,881,938 15,440,969 46,322,908 23,161,454 11,580,727 34,742,182 17,371,091 52,113,274 26,056,637 78,169,912 39,084,956 19,542,478 9,771,239 29,313,718 14,656,859 43,970,578 21,985,289 65,955,868 32,977,934 16,488,967 49,466,902 24,733,451 74,200,354 37,100,177 111,300,532 55,650,266 27,825,133 83,475,400 41,737,700 20,868,850 10,434,425 31,303,276 15,651,638 7,825,819 23,477,458 11,738,729 35,216,188 17,608,094 8,804,047 26,412,142 13,206,071 39,618,214 19,809,107 59,427,322 29,713,661 89,140,984 44,570,492 22,285,246 11,142,623 33,427,870 16,713,935

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