λ
Ratio Atlas

36,964,711

7 × 193 × 27361
Deficient Odd Composite

36,964,711 factors as 7 × 193 × 27361. Its 8 positive divisors give a proper-divisor sum of 5,501,113, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 7 × 193 × 27361
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 42,465,824
Proper Divisor Sum 5,501,113
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36964699 ← → #36964717

Radix Representation

Decimal 36964711
Binary 10001101000000100101100111 (26 bits)
Octal 0o215004547
Hexadecimal 0x2340967

Divisor Catalog (8)

Collatz Trajectory (165 steps to reach 1)

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

36,964,711 110,894,134 55,447,067 166,341,202 83,170,601 249,511,804 124,755,902 62,377,951 187,133,854 93,566,927 280,700,782 140,350,391 421,051,174 210,525,587 631,576,762 315,788,381 947,365,144 473,682,572 236,841,286 118,420,643 355,261,930 177,630,965 532,892,896 266,446,448 133,223,224 66,611,612 33,305,806 16,652,903 49,958,710 24,979,355 74,938,066 37,469,033 112,407,100 56,203,550 28,101,775 84,305,326 42,152,663 126,457,990 63,228,995 189,686,986 94,843,493 284,530,480 142,265,240 71,132,620 35,566,310 17,783,155 53,349,466 26,674,733 80,024,200 40,012,100 20,006,050 10,003,025 30,009,076 15,004,538 7,502,269 22,506,808 11,253,404 5,626,702 2,813,351 8,440,054

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