5,121,984

2⁶ × 3 × 7 × 37 × 103

5,121,984 factors as 2^6 × 3 × 7 × 37 × 103. Its 112 positive divisors give a proper-divisor sum of 10,938,944, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 37 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 16,060,928

Proper Divisor Sum 10,938,944

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5121979 ← → #5121989

Radix Representation

Decimal	5121984
Binary	10011100010011111000000 (23 bits)
Octal	0o23423700
Hexadecimal	0x4E27C0

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 103 111 112 148 168 192 206 222 224 259 296 309 336 412 444 448 518 592 618 672 721 777 824 888 1,036 1,184 1,236 1,344 1,442 1,554 1,648 1,776 2,072 2,163 2,368 2,472 2,884 3,108

Collatz Trajectory (100 steps to reach 1)

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

5,121,984 2,560,992 1,280,496 640,248 320,124 160,062 80,031 240,094 120,047 360,142 180,071 540,214 270,107 810,322 405,161 1,215,484 607,742 303,871 911,614 455,807 1,367,422 683,711 2,051,134 1,025,567 3,076,702 1,538,351 4,615,054 2,307,527 6,922,582 3,461,291 10,383,874 5,191,937 15,575,812 7,787,906 3,893,953 11,681,860 5,840,930 2,920,465 8,761,396 4,380,698 2,190,349 6,571,048 3,285,524 1,642,762 821,381 2,464,144 1,232,072 616,036 308,018 154,009 462,028 231,014 115,507 346,522 173,261 519,784 259,892 129,946 64,973 194,920

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 #5,121,983 Browse Full Index Next Integer #5,121,985 →