424,705

5 × 29² × 101

424,705 factors as 5 × 29^2 × 101. Its 12 positive divisors give a proper-divisor sum of 108,347, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5 × 29^2 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 533,052

Proper Divisor Sum 108,347

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #424693 ← → #424709

Radix Representation

Decimal	424705
Binary	1100111101100000001 (19 bits)
Octal	0o1475401
Hexadecimal	0x67B01

Divisor Catalog (12)

1 5 29 101 145 505 841 2,929 4,205 14,645 84,941 424,705

Collatz Trajectory (81 steps to reach 1)

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

424,705 1,274,116 637,058 318,529 955,588 477,794 238,897 716,692 358,346 179,173 537,520 268,760 134,380 67,190 33,595 100,786 50,393 151,180 75,590 37,795 113,386 56,693 170,080 85,040 42,520 21,260 10,630 5,315 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76

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