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Atlas › Integer Profiles › Node 3,354,351

3,354,351

3 × 7 × 11 × 13 × 1117
Deficient Odd Composite

3,354,351 factors as 3 × 7 × 11 × 13 × 1117. Its 32 positive divisors give a proper-divisor sum of 2,656,017, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,010,368
Proper Divisor Sum 2,656,017
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3354349 ← → #3354359

Radix Representation

Decimal 3354351
Binary 1100110010111011101111 (22 bits)
Octal 0o14627357
Hexadecimal 0x332EEF

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 273 429 1,001 1,117 3,003 3,351 7,819 12,287 14,521 23,457 36,861 43,563 86,009 101,647 159,731 258,027 304,941 479,193 1,118,117 3,354,351

Collatz Trajectory (239 steps to reach 1)

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

3,354,351 10,063,054 5,031,527 15,094,582 7,547,291 22,641,874 11,320,937 33,962,812 16,981,406 8,490,703 25,472,110 12,736,055 38,208,166 19,104,083 57,312,250 28,656,125 85,968,376 42,984,188 21,492,094 10,746,047 32,238,142 16,119,071 48,357,214 24,178,607 72,535,822 36,267,911 108,803,734 54,401,867 163,205,602 81,602,801 244,808,404 122,404,202 61,202,101 183,606,304 91,803,152 45,901,576 22,950,788 11,475,394 5,737,697 17,213,092 8,606,546 4,303,273 12,909,820 6,454,910 3,227,455 9,682,366 4,841,183 14,523,550 7,261,775 21,785,326 10,892,663 32,677,990 16,338,995 49,016,986 24,508,493 73,525,480 36,762,740 18,381,370 9,190,685 27,572,056

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