λ
Math Directory

3,377,411

293 × 11527
Deficient Odd Composite

3,377,411 factors as 293 × 11527. Its 4 positive divisors give a proper-divisor sum of 11,821, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 293 × 11527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,389,232
Proper Divisor Sum 11,821
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3377401 ← → #3377431

Radix Representation

Decimal 3377411
Binary 1100111000100100000011 (22 bits)
Octal 0o14704403
Hexadecimal 0x338903

Divisor Catalog (4)

1 293 11,527 3,377,411

Collatz Trajectory (89 steps to reach 1)

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

3,377,411 10,132,234 5,066,117 15,198,352 7,599,176 3,799,588 1,899,794 949,897 2,849,692 1,424,846 712,423 2,137,270 1,068,635 3,205,906 1,602,953 4,808,860 2,404,430 1,202,215 3,606,646 1,803,323 5,409,970 2,704,985 8,114,956 4,057,478 2,028,739 6,086,218 3,043,109 9,129,328 4,564,664 2,282,332 1,141,166 570,583 1,711,750 855,875 2,567,626 1,283,813 3,851,440 1,925,720 962,860 481,430 240,715 722,146 361,073 1,083,220 541,610 270,805 812,416 406,208 203,104 101,552 50,776 25,388 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424

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