72,720,003

3 × 179 × 191 × 709

72,720,003 factors as 3 × 179 × 191 × 709. Its 16 positive divisors give a proper-divisor sum of 25,430,397, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3 × 179 × 191 × 709

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 98,150,400

Proper Divisor Sum 25,430,397

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #72720001 ← → #72720013

Radix Representation

Decimal	72720003
Binary	100010101011001111010000011 (27 bits)
Octal	0o425317203
Hexadecimal	0x4559E83

Divisor Catalog (16)

1 3 179 191 537 573 709 2,127 34,189 102,567 126,911 135,419 380,733 406,257 24,240,001 72,720,003

Collatz Trajectory (228 steps to reach 1)

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

72,720,003 218,160,010 109,080,005 327,240,016 163,620,008 81,810,004 40,905,002 20,452,501 61,357,504 30,678,752 15,339,376 7,669,688 3,834,844 1,917,422 958,711 2,876,134 1,438,067 4,314,202 2,157,101 6,471,304 3,235,652 1,617,826 808,913 2,426,740 1,213,370 606,685 1,820,056 910,028 455,014 227,507 682,522 341,261 1,023,784 511,892 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814

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