λ
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Atlas › Integer Profiles › Node 33,021,226

33,021,226

2 × 7 × 53 × 191 × 233
Deficient Even Composite

33,021,226 factors as 2 × 7 × 53 × 191 × 233. Its 32 positive divisors give a proper-divisor sum of 25,205,462, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 191 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,226,688
Proper Divisor Sum 25,205,462
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #33021217 ← → #33021239

Radix Representation

Decimal 33021226
Binary 1111101111101110100101010 (25 bits)
Octal 0o175756452
Hexadecimal 0x1F7DD2A

Divisor Catalog (32)

1 2 7 14 53 106 191 233 371 382 466 742 1,337 1,631 2,674 3,262 10,123 12,349 20,246 24,698 44,503 70,861 86,443 89,006 141,722 172,886 311,521 623,042 2,358,659 4,717,318 16,510,613 33,021,226

Collatz Trajectory (201 steps to reach 1)

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

33,021,226 16,510,613 49,531,840 24,765,920 12,382,960 6,191,480 3,095,740 1,547,870 773,935 2,321,806 1,160,903 3,482,710 1,741,355 5,224,066 2,612,033 7,836,100 3,918,050 1,959,025 5,877,076 2,938,538 1,469,269 4,407,808 2,203,904 1,101,952 550,976 275,488 137,744 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822

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