332,871

3 × 7 × 11² × 131

332,871 factors as 3 × 7 × 11^2 × 131. Its 24 positive divisors give a proper-divisor sum of 228,921, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 561,792

Proper Divisor Sum 228,921

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #332851 ← → #332873

Radix Representation

Decimal	332871
Binary	1010001010001000111 (19 bits)
Octal	0o1212107
Hexadecimal	0x51447

Divisor Catalog (24)

1 3 7 11 21 33 77 121 131 231 363 393 847 917 1,441 2,541 2,751 4,323 10,087 15,851 30,261 47,553 110,957 332,871

Collatz Trajectory (215 steps to reach 1)

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

332,871 998,614 499,307 1,497,922 748,961 2,246,884 1,123,442 561,721 1,685,164 842,582 421,291 1,263,874 631,937 1,895,812 947,906 473,953 1,421,860 710,930 355,465 1,066,396 533,198 266,599 799,798 399,899 1,199,698 599,849 1,799,548 899,774 449,887 1,349,662 674,831 2,024,494 1,012,247 3,036,742 1,518,371 4,555,114 2,277,557 6,832,672 3,416,336 1,708,168 854,084 427,042 213,521 640,564 320,282 160,141 480,424 240,212 120,106 60,053 180,160 90,080 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670

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