1,561,752

2³ × 3² × 109 × 199

1,561,752 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 109 × 199 and its 48 divisors sum to 4,290,000.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 109 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,290,000

Proper Divisor Sum 2,728,248

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1561741 ← → #1561753

Radix Representation

Decimal	1561752
Binary	101111101010010011000 (21 bits)
Octal	0o5752230
Hexadecimal	0x17D498

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 109 199 218 327 398 436 597 654 796 872 981 1,194 1,308 1,592 1,791 1,962 2,388 2,616 3,582 3,924 4,776 7,164 7,848 14,328 21,691 43,382 65,073 86,764 130,146 173,528 195,219 260,292 390,438 520,584 780,876 1,561,752

Collatz Trajectory (132 steps to reach 1)

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

1,561,752 780,876 390,438 195,219 585,658 292,829 878,488 439,244 219,622 109,811 329,434 164,717 494,152 247,076 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910

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