λ
Ratio Atlas
Atlas › Integer Profiles › Node 14,400,040

14,400,040

23 × 5 × 157 × 2293
Abundant Even Composite

14,400,040 factors as 2^3 × 5 × 157 × 2293. Its 32 positive divisors give a proper-divisor sum of 18,220,640, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 157 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,620,680
Proper Divisor Sum 18,220,640
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #14400019 ← → #14400059

Radix Representation

Decimal 14400040
Binary 110110111011101000101000 (24 bits)
Octal 0o66735050
Hexadecimal 0xDBBA28

Divisor Catalog (32)

1 2 4 5 8 10 20 40 157 314 628 785 1,256 1,570 2,293 3,140 4,586 6,280 9,172 11,465 18,344 22,930 45,860 91,720 360,001 720,002 1,440,004 1,800,005 2,880,008 3,600,010 7,200,020 14,400,040

Collatz Trajectory (91 steps to reach 1)

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

14,400,040 7,200,020 3,600,010 1,800,005 5,400,016 2,700,008 1,350,004 675,002 337,501 1,012,504 506,252 253,126 126,563 379,690 189,845 569,536 284,768 142,384 71,192 35,596 17,798 8,899 26,698 13,349 40,048 20,024 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542

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 #14,400,039 Browse Full Index Next Integer #14,400,041 →