240,653

7 × 31 × 1109

For 240,653, the 8 positive divisors have a total of 284,160. Removing 240,653 leaves 43,507, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 31 × 1109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 284,160

Proper Divisor Sum 43,507

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #240641 ← → #240659

Radix Representation

Decimal	240653
Binary	111010110000001101 (18 bits)
Octal	0o726015
Hexadecimal	0x3AC0D

Divisor Catalog (8)

1 7 31 217 1,109 7,763 34,379 240,653

Collatz Trajectory (93 steps to reach 1)

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

240,653 721,960 360,980 180,490 90,245 270,736 135,368 67,684 33,842 16,921 50,764 25,382 12,691 38,074 19,037 57,112 28,556 14,278 7,139 21,418 10,709 32,128 16,064 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232

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