87,225

3 × 5² × 1163

87,225 is odd and not a perfect square. Its factorization is 3 × 5^2 × 1163 and its 12 divisors sum to 144,336.

Prime Factor Structure

Factorization String 3 × 5^2 × 1163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 144,336

Proper Divisor Sum 57,111

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #87223 ← → #87251

Radix Representation

Decimal	87225
Binary	10101010010111001 (17 bits)
Octal	0o252271
Hexadecimal	0x154B9

Divisor Catalog (12)

1 3 5 15 25 75 1,163 3,489 5,815 17,445 29,075 87,225

Collatz Trajectory (76 steps to reach 1)

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

87,225 261,676 130,838 65,419 196,258 98,129 294,388 147,194 73,597 220,792 110,396 55,198 27,599 82,798 41,399 124,198 62,099 186,298 93,149 279,448 139,724 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328

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