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Atlas › Integer Profiles › Node 2,913,255

2,913,255

32 × 5 × 41 × 1579
Deficient Odd Composite

2,913,255 factors as 3^2 × 5 × 41 × 1579. Its 24 positive divisors give a proper-divisor sum of 2,262,825, so this integer is deficient. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 41 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,176,080
Proper Divisor Sum 2,262,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2913247 ← → #2913257

Radix Representation

Decimal 2913255
Binary 1011000111001111100111 (22 bits)
Octal 0o13071747
Hexadecimal 0x2C73E7

Divisor Catalog (24)

1 3 5 9 15 41 45 123 205 369 615 1,579 1,845 4,737 7,895 14,211 23,685 64,739 71,055 194,217 323,695 582,651 971,085 2,913,255

Collatz Trajectory (288 steps to reach 1)

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

2,913,255 8,739,766 4,369,883 13,109,650 6,554,825 19,664,476 9,832,238 4,916,119 14,748,358 7,374,179 22,122,538 11,061,269 33,183,808 16,591,904 8,295,952 4,147,976 2,073,988 1,036,994 518,497 1,555,492 777,746 388,873 1,166,620 583,310 291,655 874,966 437,483 1,312,450 656,225 1,968,676 984,338 492,169 1,476,508 738,254 369,127 1,107,382 553,691 1,661,074 830,537 2,491,612 1,245,806 622,903 1,868,710 934,355 2,803,066 1,401,533 4,204,600 2,102,300 1,051,150 525,575 1,576,726 788,363 2,365,090 1,182,545 3,547,636 1,773,818 886,909 2,660,728 1,330,364 665,182

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