7,516,341

3³ × 7 × 39769

7,516,341 factors as 3^3 × 7 × 39769. Its 16 positive divisors give a proper-divisor sum of 5,210,059, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 39769

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,726,400

Proper Divisor Sum 5,210,059

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7516337 ← → #7516351

Radix Representation

Decimal	7516341
Binary	11100101011000010110101 (23 bits)
Octal	0o34530265
Hexadecimal	0x72B0B5

Divisor Catalog (16)

1 3 7 9 21 27 63 189 39,769 119,307 278,383 357,921 835,149 1,073,763 2,505,447 7,516,341

Collatz Trajectory (111 steps to reach 1)

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

7,516,341 22,549,024 11,274,512 5,637,256 2,818,628 1,409,314 704,657 2,113,972 1,056,986 528,493 1,585,480 792,740 396,370 198,185 594,556 297,278 148,639 445,918 222,959 668,878 334,439 1,003,318 501,659 1,504,978 752,489 2,257,468 1,128,734 564,367 1,693,102 846,551 2,539,654 1,269,827 3,809,482 1,904,741 5,714,224 2,857,112 1,428,556 714,278 357,139 1,071,418 535,709 1,607,128 803,564 401,782 200,891 602,674 301,337 904,012 452,006 226,003 678,010 339,005 1,017,016 508,508 254,254 127,127 381,382 190,691 572,074 286,037

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