787,272

2³ × 3 × 32803

Starting at 787,272, the Collatz iteration reaches 1 after 224 steps. The first transition is 393636; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 32803

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,968,240

Proper Divisor Sum 1,180,968

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #787261 ← → #787277

Radix Representation

Decimal	787272
Binary	11000000001101001000 (20 bits)
Octal	0o3001510
Hexadecimal	0xC0348

Divisor Catalog (16)

1 2 3 4 6 8 12 24 32,803 65,606 98,409 131,212 196,818 262,424 393,636 787,272

Collatz Trajectory (224 steps to reach 1)

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

787,272 393,636 196,818 98,409 295,228 147,614 73,807 221,422 110,711 332,134 166,067 498,202 249,101 747,304 373,652 186,826 93,413 280,240 140,120 70,060 35,030 17,515 52,546 26,273 78,820 39,410 19,705 59,116 29,558 14,779 44,338 22,169 66,508 33,254 16,627 49,882 24,941 74,824 37,412 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818

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