8,007,923

7² × 11 × 83 × 179

8,007,923 factors as 7^2 × 11 × 83 × 179. Its 24 positive divisors give a proper-divisor sum of 2,334,157, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 83 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,342,080

Proper Divisor Sum 2,334,157

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8007917 ← → #8007931

Radix Representation

Decimal	8007923
Binary	11110100011000011110011 (23 bits)
Octal	0o36430363
Hexadecimal	0x7A30F3

Divisor Catalog (24)

1 7 11 49 77 83 179 539 581 913 1,253 1,969 4,067 6,391 8,771 13,783 14,857 44,737 96,481 103,999 163,427 727,993 1,143,989 8,007,923

Collatz Trajectory (142 steps to reach 1)

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

8,007,923 24,023,770 12,011,885 36,035,656 18,017,828 9,008,914 4,504,457 13,513,372 6,756,686 3,378,343 10,135,030 5,067,515 15,202,546 7,601,273 22,803,820 11,401,910 5,700,955 17,102,866 8,551,433 25,654,300 12,827,150 6,413,575 19,240,726 9,620,363 28,861,090 14,430,545 43,291,636 21,645,818 10,822,909 32,468,728 16,234,364 8,117,182 4,058,591 12,175,774 6,087,887 18,263,662 9,131,831 27,395,494 13,697,747 41,093,242 20,546,621 61,639,864 30,819,932 15,409,966 7,704,983 23,114,950 11,557,475 34,672,426 17,336,213 52,008,640 26,004,320 13,002,160 6,501,080 3,250,540 1,625,270 812,635 2,437,906 1,218,953 3,656,860 1,828,430

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