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4,098,656

25 × 349 × 367
Deficient Even Composite

4,098,656 factors as 2^5 × 349 × 367. Its 24 positive divisors give a proper-divisor sum of 4,015,744, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^5 × 349 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,114,400
Proper Divisor Sum 4,015,744
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4098641 ← → #4098659

Radix Representation

Decimal 4098656
Binary 1111101000101001100000 (22 bits)
Octal 0o17505140
Hexadecimal 0x3E8A60

Divisor Catalog (24)

1 2 4 8 16 32 349 367 698 734 1,396 1,468 2,792 2,936 5,584 5,872 11,168 11,744 128,083 256,166 512,332 1,024,664 2,049,328 4,098,656

Collatz Trajectory (79 steps to reach 1)

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

4,098,656 2,049,328 1,024,664 512,332 256,166 128,083 384,250 192,125 576,376 288,188 144,094 72,047 216,142 108,071 324,214 162,107 486,322 243,161 729,484 364,742 182,371 547,114 273,557 820,672 410,336 205,168 102,584 51,292 25,646 12,823 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724

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