1,521,120

2⁵ × 3 × 5 × 3169

1,521,120 factors as 2^5 × 3 × 5 × 3169. Its 48 positive divisors give a proper-divisor sum of 3,271,920, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 3169

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,793,040

Proper Divisor Sum 3,271,920

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1521119 ← → #1521133

Radix Representation

Decimal	1521120
Binary	101110011010111100000 (21 bits)
Octal	0o5632740
Hexadecimal	0x1735E0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3,169 6,338 9,507 12,676 15,845 19,014 25,352 31,690 38,028 47,535 50,704 63,380 76,056 95,070 101,408 126,760 152,112 190,140 253,520 304,224 380,280 507,040 760,560 1,521,120

Collatz Trajectory (106 steps to reach 1)

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

1,521,120 760,560 380,280 190,140 95,070 47,535 142,606 71,303 213,910 106,955 320,866 160,433 481,300 240,650 120,325 360,976 180,488 90,244 45,122 22,561 67,684 33,842 16,921 50,764 25,382 12,691 38,074 19,037 57,112 28,556 14,278 7,139 21,418 10,709 32,128 16,064 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

← Previous Integer #1,521,119 Browse Full Index Next Integer #1,521,121 →