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Atlas › Integer Profiles › Node 36,968,230

36,968,230

2 × 5 × 13 × 199 × 1429
Deficient Even Composite

36,968,230 factors as 2 × 5 × 13 × 199 × 1429. Its 32 positive divisors give a proper-divisor sum of 35,103,770, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 199 × 1429
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,072,000
Proper Divisor Sum 35,103,770
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36968221 ← → #36968231

Radix Representation

Decimal 36968230
Binary 10001101000001011100100110 (26 bits)
Octal 0o215013446
Hexadecimal 0x2341726

Divisor Catalog (32)

1 2 5 10 13 26 65 130 199 398 995 1,429 1,990 2,587 2,858 5,174 7,145 12,935 14,290 18,577 25,870 37,154 92,885 185,770 284,371 568,742 1,421,855 2,843,710 3,696,823 7,393,646 18,484,115 36,968,230

Collatz Trajectory (196 steps to reach 1)

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

36,968,230 18,484,115 55,452,346 27,726,173 83,178,520 41,589,260 20,794,630 10,397,315 31,191,946 15,595,973 46,787,920 23,393,960 11,696,980 5,848,490 2,924,245 8,772,736 4,386,368 2,193,184 1,096,592 548,296 274,148 137,074 68,537 205,612 102,806 51,403 154,210 77,105 231,316 115,658 57,829 173,488 86,744 43,372 21,686 10,843 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086

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