λ
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Atlas › Integer Profiles › Node 35,837,630

35,837,630

2 × 5 × 67 × 89 × 601
Deficient Even Composite

35,837,630 factors as 2 × 5 × 67 × 89 × 601. Its 32 positive divisors give a proper-divisor sum of 30,478,690, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 89 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,316,320
Proper Divisor Sum 30,478,690
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #35837623 ← → #35837647

Radix Representation

Decimal 35837630
Binary 10001000101101011010111110 (26 bits)
Octal 0o210553276
Hexadecimal 0x222D6BE

Divisor Catalog (32)

1 2 5 10 67 89 134 178 335 445 601 670 890 1,202 3,005 5,963 6,010 11,926 29,815 40,267 53,489 59,630 80,534 106,978 201,335 267,445 402,670 534,890 3,583,763 7,167,526 17,918,815 35,837,630

Collatz Trajectory (90 steps to reach 1)

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

35,837,630 17,918,815 53,756,446 26,878,223 80,634,670 40,317,335 120,952,006 60,476,003 181,428,010 90,714,005 272,142,016 136,071,008 68,035,504 34,017,752 17,008,876 8,504,438 4,252,219 12,756,658 6,378,329 19,134,988 9,567,494 4,783,747 14,351,242 7,175,621 21,526,864 10,763,432 5,381,716 2,690,858 1,345,429 4,036,288 2,018,144 1,009,072 504,536 252,268 126,134 63,067 189,202 94,601 283,804 141,902 70,951 212,854 106,427 319,282 159,641 478,924 239,462 119,731 359,194 179,597 538,792 269,396 134,698 67,349 202,048 101,024 50,512 25,256 12,628 6,314

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