λ
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8,090,901

33 × 7 × 13 × 37 × 89
Deficient Odd Composite

8,090,901 factors as 3^3 × 7 × 13 × 37 × 89. Its 64 positive divisors give a proper-divisor sum of 7,230,699, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 13 × 37 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,321,600
Proper Divisor Sum 7,230,699
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8090897 ← → #8090911

Radix Representation

Decimal 8090901
Binary 11110110111010100010101 (23 bits)
Octal 0o36672425
Hexadecimal 0x7B7515

Divisor Catalog (60 of 64)

1 3 7 9 13 21 27 37 39 63 89 91 111 117 189 259 267 273 333 351 481 623 777 801 819 999 1,157 1,443 1,869 2,331 2,403 2,457 3,293 3,367 3,471 4,329 5,607 6,993 8,099 9,879 10,101 10,413 12,987 16,821 23,051 24,297 29,637 30,303 31,239 42,809 69,153 72,891 88,911 90,909 128,427 207,459 218,673 299,663 385,281 622,377

Collatz Trajectory (85 steps to reach 1)

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

8,090,901 24,272,704 12,136,352 6,068,176 3,034,088 1,517,044 758,522 379,261 1,137,784 568,892 284,446 142,223 426,670 213,335 640,006 320,003 960,010 480,005 1,440,016 720,008 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554

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