λ
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9,904,552

23 × 7 × 137 × 1291
Abundant Even Composite

9,904,552 factors as 2^3 × 7 × 137 × 1291. Its 32 positive divisors give a proper-divisor sum of 11,490,968, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 137 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,395,520
Proper Divisor Sum 11,490,968
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9904547 ← → #9904579

Radix Representation

Decimal 9904552
Binary 100101110010000110101000 (24 bits)
Octal 0o45620650
Hexadecimal 0x9721A8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 137 274 548 959 1,096 1,291 1,918 2,582 3,836 5,164 7,672 9,037 10,328 18,074 36,148 72,296 176,867 353,734 707,468 1,238,069 1,414,936 2,476,138 4,952,276 9,904,552

Collatz Trajectory (194 steps to reach 1)

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

9,904,552 4,952,276 2,476,138 1,238,069 3,714,208 1,857,104 928,552 464,276 232,138 116,069 348,208 174,104 87,052 43,526 21,763 65,290 32,645 97,936 48,968 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054

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