λ
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9,147,488

25 × 7 × 97 × 421
Abundant Even Composite

9,147,488 factors as 2^5 × 7 × 97 × 421. Its 48 positive divisors give a proper-divisor sum of 11,695,936, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 97 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,843,424
Proper Divisor Sum 11,695,936
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9147487 ← → #9147497

Radix Representation

Decimal 9147488
Binary 100010111001010001100000 (24 bits)
Octal 0o42712140
Hexadecimal 0x8B9460

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 421 679 776 842 1,358 1,552 1,684 2,716 2,947 3,104 3,368 5,432 5,894 6,736 10,864 11,788 13,472 21,728 23,576 40,837 47,152 81,674 94,304 163,348 285,859 326,696 571,718 653,392 1,143,436 1,306,784 2,286,872 4,573,744 9,147,488

Collatz Trajectory (106 steps to reach 1)

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

9,147,488 4,573,744 2,286,872 1,143,436 571,718 285,859 857,578 428,789 1,286,368 643,184 321,592 160,796 80,398 40,199 120,598 60,299 180,898 90,449 271,348 135,674 67,837 203,512 101,756 50,878 25,439 76,318 38,159 114,478 57,239 171,718 85,859 257,578 128,789 386,368 193,184 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

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