429,522

2 × 3 × 17 × 4211

429,522 factors as 2 × 3 × 17 × 4211. Its 16 positive divisors give a proper-divisor sum of 480,270, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 4211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 909,792

Proper Divisor Sum 480,270

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #429521 ← → #429529

Radix Representation

Decimal	429522
Binary	1101000110111010010 (19 bits)
Octal	0o1506722
Hexadecimal	0x68DD2

Divisor Catalog (16)

1 2 3 6 17 34 51 102 4,211 8,422 12,633 25,266 71,587 143,174 214,761 429,522

Collatz Trajectory (218 steps to reach 1)

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

429,522 214,761 644,284 322,142 161,071 483,214 241,607 724,822 362,411 1,087,234 543,617 1,630,852 815,426 407,713 1,223,140 611,570 305,785 917,356 458,678 229,339 688,018 344,009 1,032,028 516,014 258,007 774,022 387,011 1,161,034 580,517 1,741,552 870,776 435,388 217,694 108,847 326,542 163,271 489,814 244,907 734,722 367,361 1,102,084 551,042 275,521 826,564 413,282 206,641 619,924 309,962 154,981 464,944 232,472 116,236 58,118 29,059 87,178 43,589 130,768 65,384 32,692 16,346

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