2,591,743

7 × 11 × 97 × 347

2,591,743 factors as 7 × 11 × 97 × 347. Its 16 positive divisors give a proper-divisor sum of 682,241, so this integer is deficient. The Collatz stopping time is 342 steps.

Prime Factor Structure

Factorization String 7 × 11 × 97 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,273,984

Proper Divisor Sum 682,241

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2591737 ← → #2591747

Radix Representation

Decimal	2591743
Binary	1001111000101111111111 (22 bits)
Octal	0o11705777
Hexadecimal	0x278BFF

Divisor Catalog (16)

1 7 11 77 97 347 679 1,067 2,429 3,817 7,469 26,719 33,659 235,613 370,249 2,591,743

Collatz Trajectory (342 steps to reach 1)

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

2,591,743 7,775,230 3,887,615 11,662,846 5,831,423 17,494,270 8,747,135 26,241,406 13,120,703 39,362,110 19,681,055 59,043,166 29,521,583 88,564,750 44,282,375 132,847,126 66,423,563 199,270,690 99,635,345 298,906,036 149,453,018 74,726,509 224,179,528 112,089,764 56,044,882 28,022,441 84,067,324 42,033,662 21,016,831 63,050,494 31,525,247 94,575,742 47,287,871 141,863,614 70,931,807 212,795,422 106,397,711 319,193,134 159,596,567 478,789,702 239,394,851 718,184,554 359,092,277 1,077,276,832 538,638,416 269,319,208 134,659,604 67,329,802 33,664,901 100,994,704 50,497,352 25,248,676 12,624,338 6,312,169 18,936,508 9,468,254 4,734,127 14,202,382 7,101,191 21,303,574

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