27,687,448

2³ × 1721 × 2011

27,687,448 factors as 2^3 × 1721 × 2011. Its 16 positive divisors give a proper-divisor sum of 24,282,512, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 1721 × 2011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 51,969,960

Proper Divisor Sum 24,282,512

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #27687391 ← → #27687449

Radix Representation

Decimal	27687448
Binary	1101001100111101000011000 (25 bits)
Octal	0o151475030
Hexadecimal	0x1A67A18

Divisor Catalog (16)

1 2 4 8 1,721 2,011 3,442 4,022 6,884 8,044 13,768 16,088 3,460,931 6,921,862 13,843,724 27,687,448

Collatz Trajectory (74 steps to reach 1)

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

27,687,448 13,843,724 6,921,862 3,460,931 10,382,794 5,191,397 15,574,192 7,787,096 3,893,548 1,946,774 973,387 2,920,162 1,460,081 4,380,244 2,190,122 1,095,061 3,285,184 1,642,592 821,296 410,648 205,324 102,662 51,331 153,994 76,997 230,992 115,496 57,748 28,874 14,437 43,312 21,656 10,828 5,414 2,707 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #27,687,447 Browse Full Index Next Integer #27,687,449 →