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Atlas › Integer Profiles › Node 9,764,895

9,764,895

3 × 5 × 7 × 113 × 823
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 113 × 823
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,035,712
Proper Divisor Sum 8,270,817
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9764873 ← → #9764897

Radix Representation

Decimal 9764895
Binary 100101010000000000011111 (24 bits)
Octal 0o45200037
Hexadecimal 0x95001F

Divisor Catalog (32)

1 3 5 7 15 21 35 105 113 339 565 791 823 1,695 2,373 2,469 3,955 4,115 5,761 11,865 12,345 17,283 28,805 86,415 92,999 278,997 464,995 650,993 1,394,985 1,952,979 3,254,965 9,764,895

Collatz Trajectory (176 steps to reach 1)

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

9,764,895 29,294,686 14,647,343 43,942,030 21,971,015 65,913,046 32,956,523 98,869,570 49,434,785 148,304,356 74,152,178 37,076,089 111,228,268 55,614,134 27,807,067 83,421,202 41,710,601 125,131,804 62,565,902 31,282,951 93,848,854 46,924,427 140,773,282 70,386,641 211,159,924 105,579,962 52,789,981 158,369,944 79,184,972 39,592,486 19,796,243 59,388,730 29,694,365 89,083,096 44,541,548 22,270,774 11,135,387 33,406,162 16,703,081 50,109,244 25,054,622 12,527,311 37,581,934 18,790,967 56,372,902 28,186,451 84,559,354 42,279,677 126,839,032 63,419,516 31,709,758 15,854,879 47,564,638 23,782,319 71,346,958 35,673,479 107,020,438 53,510,219 160,530,658 80,265,329

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