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Atlas › Integer Profiles › Node 8,093,898

8,093,898

2 × 33 × 37 × 4051
Abundant Even Composite

8,093,898 factors as 2 × 3^3 × 37 × 4051. Its 32 positive divisors give a proper-divisor sum of 10,383,222, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 4051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,477,120
Proper Divisor Sum 10,383,222
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8093893 ← → #8093947

Radix Representation

Decimal 8093898
Binary 11110111000000011001010 (23 bits)
Octal 0o36700312
Hexadecimal 0x7B80CA

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,998 4,051 8,102 12,153 24,306 36,459 72,918 109,377 149,887 218,754 299,774 449,661 899,322 1,348,983 2,697,966 4,046,949 8,093,898

Collatz Trajectory (111 steps to reach 1)

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

8,093,898 4,046,949 12,140,848 6,070,424 3,035,212 1,517,606 758,803 2,276,410 1,138,205 3,414,616 1,707,308 853,654 426,827 1,280,482 640,241 1,920,724 960,362 480,181 1,440,544 720,272 360,136 180,068 90,034 45,017 135,052 67,526 33,763 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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