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Atlas › Integer Profiles › Node 77,366,146

77,366,146

2 × 11 × 13 × 157 × 1723
Deficient Even Composite

77,366,146 factors as 2 × 11 × 13 × 157 × 1723. Its 32 positive divisors give a proper-divisor sum of 59,919,422, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 157 × 1723
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 137,285,568
Proper Divisor Sum 59,919,422
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #77366143 ← → #77366147

Radix Representation

Decimal 77366146
Binary 100100111001000001110000010 (27 bits)
Octal 0o447101602
Hexadecimal 0x49C8382

Divisor Catalog (32)

1 2 11 13 22 26 143 157 286 314 1,723 1,727 2,041 3,446 3,454 4,082 18,953 22,399 22,451 37,906 44,798 44,902 246,389 270,511 492,778 541,022 2,975,621 3,516,643 5,951,242 7,033,286 38,683,073 77,366,146

Collatz Trajectory (210 steps to reach 1)

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

77,366,146 38,683,073 116,049,220 58,024,610 29,012,305 87,036,916 43,518,458 21,759,229 65,277,688 32,638,844 16,319,422 8,159,711 24,479,134 12,239,567 36,718,702 18,359,351 55,078,054 27,539,027 82,617,082 41,308,541 123,925,624 61,962,812 30,981,406 15,490,703 46,472,110 23,236,055 69,708,166 34,854,083 104,562,250 52,281,125 156,843,376 78,421,688 39,210,844 19,605,422 9,802,711 29,408,134 14,704,067 44,112,202 22,056,101 66,168,304 33,084,152 16,542,076 8,271,038 4,135,519 12,406,558 6,203,279 18,609,838 9,304,919 27,914,758 13,957,379 41,872,138 20,936,069 62,808,208 31,404,104 15,702,052 7,851,026 3,925,513 11,776,540 5,888,270 2,944,135

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