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Atlas › Integer Profiles › Node 36,978,705

36,978,705

32 × 5 × 877 × 937
Deficient Odd Composite

36,978,705 factors as 3^2 × 5 × 877 × 937. Its 24 positive divisors give a proper-divisor sum of 27,259,287, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 877 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 64,237,992
Proper Divisor Sum 27,259,287
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36978701 ← → #36978719

Radix Representation

Decimal 36978705
Binary 10001101000100000000010001 (26 bits)
Octal 0o215040021
Hexadecimal 0x2344011

Divisor Catalog (24)

1 3 5 9 15 45 877 937 2,631 2,811 4,385 4,685 7,893 8,433 13,155 14,055 39,465 42,165 821,749 2,465,247 4,108,745 7,395,741 12,326,235 36,978,705

Collatz Trajectory (108 steps to reach 1)

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

36,978,705 110,936,116 55,468,058 27,734,029 83,202,088 41,601,044 20,800,522 10,400,261 31,200,784 15,600,392 7,800,196 3,900,098 1,950,049 5,850,148 2,925,074 1,462,537 4,387,612 2,193,806 1,096,903 3,290,710 1,645,355 4,936,066 2,468,033 7,404,100 3,702,050 1,851,025 5,553,076 2,776,538 1,388,269 4,164,808 2,082,404 1,041,202 520,601 1,561,804 780,902 390,451 1,171,354 585,677 1,757,032 878,516 439,258 219,629 658,888 329,444 164,722 82,361 247,084 123,542 61,771 185,314 92,657 277,972 138,986 69,493 208,480 104,240 52,120 26,060 13,030 6,515

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