33,829,321

33829321

33,829,321 factors as 33829321. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 33829321

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 33,829,322

Proper Divisor Sum 1

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #33829307 ← → #33829333

Radix Representation

Decimal	33829321
Binary	10000001000011000111001001 (26 bits)
Octal	0o201030711
Hexadecimal	0x20431C9

Divisor Catalog (2)

1 33,829,321

Collatz Trajectory (183 steps to reach 1)

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

33,829,321 101,487,964 50,743,982 25,371,991 76,115,974 38,057,987 114,173,962 57,086,981 171,260,944 85,630,472 42,815,236 21,407,618 10,703,809 32,111,428 16,055,714 8,027,857 24,083,572 12,041,786 6,020,893 18,062,680 9,031,340 4,515,670 2,257,835 6,773,506 3,386,753 10,160,260 5,080,130 2,540,065 7,620,196 3,810,098 1,905,049 5,715,148 2,857,574 1,428,787 4,286,362 2,143,181 6,429,544 3,214,772 1,607,386 803,693 2,411,080 1,205,540 602,770 301,385 904,156 452,078 226,039 678,118 339,059 1,017,178 508,589 1,525,768 762,884 381,442 190,721 572,164 286,082 143,041 429,124 214,562

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