429,417

3² × 47713

429,417 factors as 3^2 × 47713. Its 6 positive divisors give a proper-divisor sum of 190,865, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 47713

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 620,282

Proper Divisor Sum 190,865

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #429413 ← → #429427

Radix Representation

Decimal	429417
Binary	1101000110101101001 (19 bits)
Octal	0o1506551
Hexadecimal	0x68D69

Divisor Catalog (6)

1 3 9 47,713 143,139 429,417

Collatz Trajectory (125 steps to reach 1)

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

429,417 1,288,252 644,126 322,063 966,190 483,095 1,449,286 724,643 2,173,930 1,086,965 3,260,896 1,630,448 815,224 407,612 203,806 101,903 305,710 152,855 458,566 229,283 687,850 343,925 1,031,776 515,888 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360

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