52,592,832

2⁶ × 3² × 17 × 41 × 131

52,592,832 factors as 2^6 × 3^2 × 17 × 41 × 131. Its 168 positive divisors give a proper-divisor sum of 112,163,760, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 17 × 41 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 164,756,592

Proper Divisor Sum 112,163,760

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #52592831 ← → #52592851

Radix Representation

Decimal	52592832
Binary	11001000101000000011000000 (26 bits)
Octal	0o310500300
Hexadecimal	0x32280C0

Divisor Catalog (60 of 168)

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 64 68 72 82 96 102 123 131 136 144 153 164 192 204 246 262 272 288 306 328 369 393 408 492 524 544 576 612 656 697 738 786 816 984 1,048 1,088 1,179 1,224 1,312 1,394 1,476 1,572

Collatz Trajectory (168 steps to reach 1)

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

52,592,832 26,296,416 13,148,208 6,574,104 3,287,052 1,643,526 821,763 2,465,290 1,232,645 3,697,936 1,848,968 924,484 462,242 231,121 693,364 346,682 173,341 520,024 260,012 130,006 65,003 195,010 97,505 292,516 146,258 73,129 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600

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