3,377,564

2² × 43 × 73 × 269

3,377,564 factors as 2^2 × 43 × 73 × 269. Its 24 positive divisors give a proper-divisor sum of 2,776,276, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 73 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,153,840

Proper Divisor Sum 2,776,276

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3377557 ← → #3377567

Radix Representation

Decimal	3377564
Binary	1100111000100110011100 (22 bits)
Octal	0o14704634
Hexadecimal	0x33899C

Divisor Catalog (24)

Collatz Trajectory (146 steps to reach 1)

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

3,377,564 1,688,782 844,391 2,533,174 1,266,587 3,799,762 1,899,881 5,699,644 2,849,822 1,424,911 4,274,734 2,137,367 6,412,102 3,206,051 9,618,154 4,809,077 14,427,232 7,213,616 3,606,808 1,803,404 901,702 450,851 1,352,554 676,277 2,028,832 1,014,416 507,208 253,604 126,802 63,401 190,204 95,102 47,551 142,654 71,327 213,982 106,991 320,974 160,487 481,462 240,731 722,194 361,097 1,083,292 541,646 270,823 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214

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