λ
Sigma Notebook

652,727

652727
Deficient Odd Prime

652,727 is odd and not a perfect square. Its factorization is 652727 and its 2 divisors sum to 652,728.

Prime Factor Structure

Factorization String 652727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 652,728
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #652723 ← → #652733

Radix Representation

Decimal 652727
Binary 10011111010110110111 (20 bits)
Octal 0o2372667
Hexadecimal 0x9F5B7

Divisor Catalog (2)

1 652,727

Collatz Trajectory (92 steps to reach 1)

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

652,727 1,958,182 979,091 2,937,274 1,468,637 4,405,912 2,202,956 1,101,478 550,739 1,652,218 826,109 2,478,328 1,239,164 619,582 309,791 929,374 464,687 1,394,062 697,031 2,091,094 1,045,547 3,136,642 1,568,321 4,704,964 2,352,482 1,176,241 3,528,724 1,764,362 882,181 2,646,544 1,323,272 661,636 330,818 165,409 496,228 248,114 124,057 372,172 186,086 93,043 279,130 139,565 418,696 209,348 104,674 52,337 157,012 78,506 39,253 117,760 58,880 29,440 14,720 7,360 3,680 1,840 920 460 230 115

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