4,157,767

263 × 15809

4,157,767 factors as 263 × 15809. Its 4 positive divisors give a proper-divisor sum of 16,073, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 263 × 15809

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,173,840

Proper Divisor Sum 16,073

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4157753 ← → #4157771

Radix Representation

Decimal	4157767
Binary	1111110111000101000111 (22 bits)
Octal	0o17670507
Hexadecimal	0x3F7147

Divisor Catalog (4)

1 263 15,809 4,157,767

Collatz Trajectory (92 steps to reach 1)

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

4,157,767 12,473,302 6,236,651 18,709,954 9,354,977 28,064,932 14,032,466 7,016,233 21,048,700 10,524,350 5,262,175 15,786,526 7,893,263 23,679,790 11,839,895 35,519,686 17,759,843 53,279,530 26,639,765 79,919,296 39,959,648 19,979,824 9,989,912 4,994,956 2,497,478 1,248,739 3,746,218 1,873,109 5,619,328 2,809,664 1,404,832 702,416 351,208 175,604 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396

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