λ
Prime Ledger

460,762

2 × 101 × 2281
Deficient Even Composite

460,762 has the prime decomposition 2 × 101 × 2281. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 2281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 698,292
Proper Divisor Sum 237,530
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #460721 ← → #460771

Radix Representation

Decimal 460762
Binary 1110000011111011010 (19 bits)
Octal 0o1603732
Hexadecimal 0x707DA

Divisor Catalog (8)

1 2 101 202 2,281 4,562 230,381 460,762

Collatz Trajectory (156 steps to reach 1)

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

460,762 230,381 691,144 345,572 172,786 86,393 259,180 129,590 64,795 194,386 97,193 291,580 145,790 72,895 218,686 109,343 328,030 164,015 492,046 246,023 738,070 369,035 1,107,106 553,553 1,660,660 830,330 415,165 1,245,496 622,748 311,374 155,687 467,062 233,531 700,594 350,297 1,050,892 525,446 262,723 788,170 394,085 1,182,256 591,128 295,564 147,782 73,891 221,674 110,837 332,512 166,256 83,128 41,564 20,782 10,391 31,174 15,587 46,762 23,381 70,144 35,072 17,536

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