λ
Integer Codex

9,711,750

2 × 3 × 53 × 23 × 563
Abundant Even Composite

For 9,711,750, the 64 positive divisors have a total of 25,339,392. Removing 9,711,750 leaves 15,627,642, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 23 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,339,392
Proper Divisor Sum 15,627,642
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9711739 ← → #9711787

Radix Representation

Decimal 9711750
Binary 100101000011000010000110 (24 bits)
Octal 0o45030206
Hexadecimal 0x943086

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 563 575 690 750 1,126 1,150 1,689 1,725 2,815 2,875 3,378 3,450 5,630 5,750 8,445 8,625 12,949 14,075 16,890 17,250 25,898 28,150 38,847 42,225 64,745 70,375 77,694 84,450 129,490 140,750 194,235 211,125 323,725 388,470 422,250 647,450 971,175 1,618,625

Collatz Trajectory (114 steps to reach 1)

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

9,711,750 4,855,875 14,567,626 7,283,813 21,851,440 10,925,720 5,462,860 2,731,430 1,365,715 4,097,146 2,048,573 6,145,720 3,072,860 1,536,430 768,215 2,304,646 1,152,323 3,456,970 1,728,485 5,185,456 2,592,728 1,296,364 648,182 324,091 972,274 486,137 1,458,412 729,206 364,603 1,093,810 546,905 1,640,716 820,358 410,179 1,230,538 615,269 1,845,808 922,904 461,452 230,726 115,363 346,090 173,045 519,136 259,568 129,784 64,892 32,446 16,223 48,670 24,335 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200 61,600

More profiles

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