λ
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7,696,325

52 × 7 × 13 × 17 × 199
Deficient Odd Composite

7,696,325 factors as 5^2 × 7 × 13 × 17 × 199. Its 48 positive divisors give a proper-divisor sum of 4,802,875, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 13 × 17 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,499,200
Proper Divisor Sum 4,802,875
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7696321 ← → #7696343

Radix Representation

Decimal 7696325
Binary 11101010110111111000101 (23 bits)
Octal 0o35267705
Hexadecimal 0x756FC5

Divisor Catalog (48)

1 5 7 13 17 25 35 65 85 91 119 175 199 221 325 425 455 595 995 1,105 1,393 1,547 2,275 2,587 2,975 3,383 4,975 5,525 6,965 7,735 12,935 16,915 18,109 23,681 34,825 38,675 43,979 64,675 84,575 90,545 118,405 219,895 307,853 452,725 592,025 1,099,475 1,539,265 7,696,325

Collatz Trajectory (217 steps to reach 1)

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

7,696,325 23,088,976 11,544,488 5,772,244 2,886,122 1,443,061 4,329,184 2,164,592 1,082,296 541,148 270,574 135,287 405,862 202,931 608,794 304,397 913,192 456,596 228,298 114,149 342,448 171,224 85,612 42,806 21,403 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140

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