λ
Prime Ledger

9,682,252

22 × 53 × 109 × 419
Deficient Even Composite

9,682,252 has the prime decomposition 2^2 × 53 × 109 × 419. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 53 × 109 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,463,600
Proper Divisor Sum 7,781,348
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9682243 ← → #9682297

Radix Representation

Decimal 9682252
Binary 100100111011110101001100 (24 bits)
Octal 0o44736514
Hexadecimal 0x93BD4C

Divisor Catalog (24)

1 2 4 53 106 109 212 218 419 436 838 1,676 5,777 11,554 22,207 23,108 44,414 45,671 88,828 91,342 182,684 2,420,563 4,841,126 9,682,252

Collatz Trajectory (176 steps to reach 1)

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

9,682,252 4,841,126 2,420,563 7,261,690 3,630,845 10,892,536 5,446,268 2,723,134 1,361,567 4,084,702 2,042,351 6,127,054 3,063,527 9,190,582 4,595,291 13,785,874 6,892,937 20,678,812 10,339,406 5,169,703 15,509,110 7,754,555 23,263,666 11,631,833 34,895,500 17,447,750 8,723,875 26,171,626 13,085,813 39,257,440 19,628,720 9,814,360 4,907,180 2,453,590 1,226,795 3,680,386 1,840,193 5,520,580 2,760,290 1,380,145 4,140,436 2,070,218 1,035,109 3,105,328 1,552,664 776,332 388,166 194,083 582,250 291,125 873,376 436,688 218,344 109,172 54,586 27,293 81,880 40,940 20,470 10,235

More profiles

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