8,249,007

3 × 13 × 31 × 6823

For 8,249,007, the 16 positive divisors have a total of 12,228,608. Removing 8,249,007 leaves 3,979,601, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 31 × 6823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,228,608

Proper Divisor Sum 3,979,601

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8248987 ← → #8249009

Radix Representation

Decimal	8249007
Binary	11111011101111010101111 (23 bits)
Octal	0o37357257
Hexadecimal	0x7DDEAF

Divisor Catalog (16)

1 3 13 31 39 93 403 1,209 6,823 20,469 88,699 211,513 266,097 634,539 2,749,669 8,249,007

Collatz Trajectory (186 steps to reach 1)

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

8,249,007 24,747,022 12,373,511 37,120,534 18,560,267 55,680,802 27,840,401 83,521,204 41,760,602 20,880,301 62,640,904 31,320,452 15,660,226 7,830,113 23,490,340 11,745,170 5,872,585 17,617,756 8,808,878 4,404,439 13,213,318 6,606,659 19,819,978 9,909,989 29,729,968 14,864,984 7,432,492 3,716,246 1,858,123 5,574,370 2,787,185 8,361,556 4,180,778 2,090,389 6,271,168 3,135,584 1,567,792 783,896 391,948 195,974 97,987 293,962 146,981 440,944 220,472 110,236 55,118 27,559 82,678 41,339 124,018 62,009 186,028 93,014 46,507 139,522 69,761 209,284 104,642 52,321

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