462,722

2 × 13² × 37²

462,722 factors as 2 × 13^2 × 37^2. Its 18 positive divisors give a proper-divisor sum of 309,721, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 37^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 772,443

Proper Divisor Sum 309,721

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #462719 ← → #462727

Radix Representation

Decimal	462722
Binary	1110000111110000010 (19 bits)
Octal	0o1607602
Hexadecimal	0x70F82

Divisor Catalog (18)

1 2 13 26 37 74 169 338 481 962 1,369 2,738 6,253 12,506 17,797 35,594 231,361 462,722

Collatz Trajectory (138 steps to reach 1)

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

462,722 231,361 694,084 347,042 173,521 520,564 260,282 130,141 390,424 195,212 97,606 48,803 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614

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