7,835,002

2 × 7² × 31 × 2579

7,835,002 factors as 2 × 7^2 × 31 × 2579. Its 24 positive divisors give a proper-divisor sum of 6,282,758, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 31 × 2579

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,117,760

Proper Divisor Sum 6,282,758

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7834993 ← → #7835021

Radix Representation

Decimal	7835002
Binary	11101111000110101111010 (23 bits)
Octal	0o35706572
Hexadecimal	0x778D7A

Divisor Catalog (24)

Collatz Trajectory (186 steps to reach 1)

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

7,835,002 3,917,501 11,752,504 5,876,252 2,938,126 1,469,063 4,407,190 2,203,595 6,610,786 3,305,393 9,916,180 4,958,090 2,479,045 7,437,136 3,718,568 1,859,284 929,642 464,821 1,394,464 697,232 348,616 174,308 87,154 43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381

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