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Atlas › Integer Profiles › Node 8,029,328

8,029,328

24 × 113 × 4441
Deficient Even Composite

8,029,328 factors as 2^4 × 113 × 4441. Its 20 positive divisors give a proper-divisor sum of 7,668,700, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 113 × 4441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,698,028
Proper Divisor Sum 7,668,700
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8029327 ← → #8029331

Radix Representation

Decimal 8029328
Binary 11110101000010010010000 (23 bits)
Octal 0o36502220
Hexadecimal 0x7A8490

Divisor Catalog (20)

1 2 4 8 16 113 226 452 904 1,808 4,441 8,882 17,764 35,528 71,056 501,833 1,003,666 2,007,332 4,014,664 8,029,328

Collatz Trajectory (186 steps to reach 1)

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

8,029,328 4,014,664 2,007,332 1,003,666 501,833 1,505,500 752,750 376,375 1,129,126 564,563 1,693,690 846,845 2,540,536 1,270,268 635,134 317,567 952,702 476,351 1,429,054 714,527 2,143,582 1,071,791 3,215,374 1,607,687 4,823,062 2,411,531 7,234,594 3,617,297 10,851,892 5,425,946 2,712,973 8,138,920 4,069,460 2,034,730 1,017,365 3,052,096 1,526,048 763,024 381,512 190,756 95,378 47,689 143,068 71,534 35,767 107,302 53,651 160,954 80,477 241,432 120,716 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488

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