73,159,200

2⁵ × 3⁴ × 5² × 1129

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5^2 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 267,033,690

Proper Divisor Sum 193,874,490

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #73159189 ← → #73159201

Radix Representation

Decimal	73159200
Binary	100010111000101001000100000 (27 bits)
Octal	0o427051040
Hexadecimal	0x45C5220

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 270 288 300 324 360 400 405 432 450 480 540 600 648 675 720

Collatz Trajectory (83 steps to reach 1)

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

73,159,200 36,579,600 18,289,800 9,144,900 4,572,450 2,286,225 6,858,676 3,429,338 1,714,669 5,144,008 2,572,004 1,286,002 643,001 1,929,004 964,502 482,251 1,446,754 723,377 2,170,132 1,085,066 542,533 1,627,600 813,800 406,900 203,450 101,725 305,176 152,588 76,294 38,147 114,442 57,221 171,664 85,832 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892

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