λ
Modular Archive

9,726,991

9726991
Deficient Odd Prime

The decimal integer 9,726,991 is 100101000110110000001111 in binary (24 bits), 45066017 in octal and 946C0F in hexadecimal. Its digit sum is 43.

Prime Factor Structure

Factorization String 9726991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,726,992
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9726989 ← → #9727013

Radix Representation

Decimal 9726991
Binary 100101000110110000001111 (24 bits)
Octal 0o45066017
Hexadecimal 0x946C0F

Divisor Catalog (2)

Collatz Trajectory (194 steps to reach 1)

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

9,726,991 29,180,974 14,590,487 43,771,462 21,885,731 65,657,194 32,828,597 98,485,792 49,242,896 24,621,448 12,310,724 6,155,362 3,077,681 9,233,044 4,616,522 2,308,261 6,924,784 3,462,392 1,731,196 865,598 432,799 1,298,398 649,199 1,947,598 973,799 2,921,398 1,460,699 4,382,098 2,191,049 6,573,148 3,286,574 1,643,287 4,929,862 2,464,931 7,394,794 3,697,397 11,092,192 5,546,096 2,773,048 1,386,524 693,262 346,631 1,039,894 519,947 1,559,842 779,921 2,339,764 1,169,882 584,941 1,754,824 877,412 438,706 219,353 658,060 329,030 164,515 493,546 246,773 740,320 370,160

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