λ
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Atlas › Integer Profiles › Node 8,302,944

8,302,944

25 × 3 × 13 × 6653
Abundant Even Composite

8,302,944 factors as 2^5 × 3 × 13 × 6653. Its 48 positive divisors give a proper-divisor sum of 15,172,368, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 6653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,475,312
Proper Divisor Sum 15,172,368
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8302891 ← → #8302949

Radix Representation

Decimal 8302944
Binary 11111101011000101100000 (23 bits)
Octal 0o37530540
Hexadecimal 0x7EB160

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1,248 6,653 13,306 19,959 26,612 39,918 53,224 79,836 86,489 106,448 159,672 172,978 212,896 259,467 319,344 345,956 518,934 638,688 691,912 1,037,868 1,383,824 2,075,736 2,767,648 4,151,472 8,302,944

Collatz Trajectory (80 steps to reach 1)

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

8,302,944 4,151,472 2,075,736 1,037,868 518,934 259,467 778,402 389,201 1,167,604 583,802 291,901 875,704 437,852 218,926 109,463 328,390 164,195 492,586 246,293 738,880 369,440 184,720 92,360 46,180 23,090 11,545 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244

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