29,193,041

31 × 659 × 1429

29,193,041 factors as 31 × 659 × 1429. Its 8 positive divisors give a proper-divisor sum of 1,008,559, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 31 × 659 × 1429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 30,201,600

Proper Divisor Sum 1,008,559

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #29193011 ← → #29193067

Radix Representation

Decimal	29193041
Binary	1101111010111001101010001 (25 bits)
Octal	0o157271521
Hexadecimal	0x1BD7351

Divisor Catalog (8)

1 31 659 1,429 20,429 44,299 941,711 29,193,041

Collatz Trajectory (198 steps to reach 1)

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

29,193,041 87,579,124 43,789,562 21,894,781 65,684,344 32,842,172 16,421,086 8,210,543 24,631,630 12,315,815 36,947,446 18,473,723 55,421,170 27,710,585 83,131,756 41,565,878 20,782,939 62,348,818 31,174,409 93,523,228 46,761,614 23,380,807 70,142,422 35,071,211 105,213,634 52,606,817 157,820,452 78,910,226 39,455,113 118,365,340 59,182,670 29,591,335 88,774,006 44,387,003 133,161,010 66,580,505 199,741,516 99,870,758 49,935,379 149,806,138 74,903,069 224,709,208 112,354,604 56,177,302 28,088,651 84,265,954 42,132,977 126,398,932 63,199,466 31,599,733 94,799,200 47,399,600 23,699,800 11,849,900 5,924,950 2,962,475 8,887,426 4,443,713 13,331,140 6,665,570

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