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9,800,624

24 × 149 × 4111
Deficient Even Composite

9,800,624 factors as 2^4 × 149 × 4111. Its 20 positive divisors give a proper-divisor sum of 9,320,176, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 149 × 4111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,120,800
Proper Divisor Sum 9,320,176
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9800621 ← → #9800629

Radix Representation

Decimal 9800624
Binary 100101011000101110110000 (24 bits)
Octal 0o45305660
Hexadecimal 0x958BB0

Divisor Catalog (20)

1 2 4 8 16 149 298 596 1,192 2,384 4,111 8,222 16,444 32,888 65,776 612,539 1,225,078 2,450,156 4,900,312 9,800,624

Collatz Trajectory (114 steps to reach 1)

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

9,800,624 4,900,312 2,450,156 1,225,078 612,539 1,837,618 918,809 2,756,428 1,378,214 689,107 2,067,322 1,033,661 3,100,984 1,550,492 775,246 387,623 1,162,870 581,435 1,744,306 872,153 2,616,460 1,308,230 654,115 1,962,346 981,173 2,943,520 1,471,760 735,880 367,940 183,970 91,985 275,956 137,978 68,989 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366

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