625,152

2⁹ × 3 × 11 × 37

Prime Factor Structure

Factorization String 2^9 × 3 × 11 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,865,952

Proper Divisor Sum 1,240,800

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #625133 ← → #625169

Radix Representation

Decimal	625152
Binary	10011000101000000000 (20 bits)
Octal	0o2305000
Hexadecimal	0x98A00

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 512 528 592 704 768 814 888 1,056 1,184 1,221 1,408 1,536 1,628 1,776 2,112 2,368 2,442 2,816 3,256 3,552 4,224 4,736 4,884 5,632 6,512

Collatz Trajectory (48 steps to reach 1)

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

625,152 312,576 156,288 78,144 39,072 19,536 9,768 4,884 2,442 1,221 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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