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4,615,456

25 × 23 × 6271
Abundant Even Composite

4,615,456 factors as 2^5 × 23 × 6271. Its 24 positive divisors give a proper-divisor sum of 4,867,808, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 6271
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,483,264
Proper Divisor Sum 4,867,808
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4615453 ← → #4615469

Radix Representation

Decimal 4615456
Binary 10001100110110100100000 (23 bits)
Octal 0o21466440
Hexadecimal 0x466D20

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 6,271 12,542 25,084 50,168 100,336 144,233 200,672 288,466 576,932 1,153,864 2,307,728 4,615,456

Collatz Trajectory (193 steps to reach 1)

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

4,615,456 2,307,728 1,153,864 576,932 288,466 144,233 432,700 216,350 108,175 324,526 162,263 486,790 243,395 730,186 365,093 1,095,280 547,640 273,820 136,910 68,455 205,366 102,683 308,050 154,025 462,076 231,038 115,519 346,558 173,279 519,838 259,919 779,758 389,879 1,169,638 584,819 1,754,458 877,229 2,631,688 1,315,844 657,922 328,961 986,884 493,442 246,721 740,164 370,082 185,041 555,124 277,562 138,781 416,344 208,172 104,086 52,043 156,130 78,065 234,196 117,098 58,549 175,648

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