1,007,902

2 × 7 × 71993

1,007,902 factors as 2 × 7 × 71993. Its 8 positive divisors give a proper-divisor sum of 719,954, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 7 × 71993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,727,856

Proper Divisor Sum 719,954

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1007891 ← → #1007921

Radix Representation

Decimal	1007902
Binary	11110110000100011110 (20 bits)
Octal	0o3660436
Hexadecimal	0xF611E

Divisor Catalog (8)

1 2 7 14 71,993 143,986 503,951 1,007,902

Collatz Trajectory (134 steps to reach 1)

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

1,007,902 503,951 1,511,854 755,927 2,267,782 1,133,891 3,401,674 1,700,837 5,102,512 2,551,256 1,275,628 637,814 318,907 956,722 478,361 1,435,084 717,542 358,771 1,076,314 538,157 1,614,472 807,236 403,618 201,809 605,428 302,714 151,357 454,072 227,036 113,518 56,759 170,278 85,139 255,418 127,709 383,128 191,564 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394

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