7,292,008

2³ × 359 × 2539

For 7,292,008, the 16 positive divisors have a total of 13,716,000. Removing 7,292,008 leaves 6,423,992, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 359 × 2539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,716,000

Proper Divisor Sum 6,423,992

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7291981 ← → #7292011

Radix Representation

Decimal	7292008
Binary	11011110100010001101000 (23 bits)
Octal	0o33642150
Hexadecimal	0x6F4468

Divisor Catalog (16)

1 2 4 8 359 718 1,436 2,539 2,872 5,078 10,156 20,312 911,501 1,823,002 3,646,004 7,292,008

Collatz Trajectory (67 steps to reach 1)

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

7,292,008 3,646,004 1,823,002 911,501 2,734,504 1,367,252 683,626 341,813 1,025,440 512,720 256,360 128,180 64,090 32,045 96,136 48,068 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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