λ
Math Directory

9,202,472

23 × 1150309
Deficient Even Composite

9,202,472 factors as 2^3 × 1150309. Its 8 positive divisors give a proper-divisor sum of 8,052,178, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 1150309
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,254,650
Proper Divisor Sum 8,052,178
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9202463 ← → #9202477

Radix Representation

Decimal 9202472
Binary 100011000110101100101000 (24 bits)
Octal 0o43065450
Hexadecimal 0x8C6B28

Divisor Catalog (8)

1 2 4 8 1,150,309 2,300,618 4,601,236 9,202,472

Collatz Trajectory (194 steps to reach 1)

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

9,202,472 4,601,236 2,300,618 1,150,309 3,450,928 1,725,464 862,732 431,366 215,683 647,050 323,525 970,576 485,288 242,644 121,322 60,661 181,984 90,992 45,496 22,748 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622

More profiles

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