λ
Modular Archive

9,737,925

3 × 52 × 157 × 827
Deficient Odd Composite

The decimal integer 9,737,925 is 100101001001011011000101 in binary (24 bits), 45113305 in octal and 9496C5 in hexadecimal. Its digit sum is 42.

Prime Factor Structure

Factorization String 3 × 5^2 × 157 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,222,176
Proper Divisor Sum 6,484,251
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9737921 ← → #9737941

Radix Representation

Decimal 9737925
Binary 100101001001011011000101 (24 bits)
Octal 0o45113305
Hexadecimal 0x9496C5

Divisor Catalog (24)

1 3 5 15 25 75 157 471 785 827 2,355 2,481 3,925 4,135 11,775 12,405 20,675 62,025 129,839 389,517 649,195 1,947,585 3,245,975 9,737,925

Collatz Trajectory (114 steps to reach 1)

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

9,737,925 29,213,776 14,606,888 7,303,444 3,651,722 1,825,861 5,477,584 2,738,792 1,369,396 684,698 342,349 1,027,048 513,524 256,762 128,381 385,144 192,572 96,286 48,143 144,430 72,215 216,646 108,323 324,970 162,485 487,456 243,728 121,864 60,932 30,466 15,233 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297

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