5,420,040

2³ × 3 × 5 × 31² × 47

5,420,040 has the prime decomposition 2^3 × 3 × 5 × 31^2 × 47. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 31^2 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,159,040

Proper Divisor Sum 11,739,000

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #5420039 ← → #5420053

Radix Representation

Decimal	5420040
Binary	10100101011010000001000 (23 bits)
Octal	0o24532010
Hexadecimal	0x52B408

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 235 248 282 310 372 376 465 470 564 620 705 744 930 940 961 1,128 1,240 1,410 1,457 1,860 1,880 1,922 2,820 2,883 2,914 3,720 3,844 4,371 4,805 5,640 5,766 5,828 7,285 7,688

Collatz Trajectory (250 steps to reach 1)

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

5,420,040 2,710,020 1,355,010 677,505 2,032,516 1,016,258 508,129 1,524,388 762,194 381,097 1,143,292 571,646 285,823 857,470 428,735 1,286,206 643,103 1,929,310 964,655 2,893,966 1,446,983 4,340,950 2,170,475 6,511,426 3,255,713 9,767,140 4,883,570 2,441,785 7,325,356 3,662,678 1,831,339 5,494,018 2,747,009 8,241,028 4,120,514 2,060,257 6,180,772 3,090,386 1,545,193 4,635,580 2,317,790 1,158,895 3,476,686 1,738,343 5,215,030 2,607,515 7,822,546 3,911,273 11,733,820 5,866,910 2,933,455 8,800,366 4,400,183 13,200,550 6,600,275 19,800,826 9,900,413 29,701,240 14,850,620 7,425,310

← Previous Integer #5,420,039 Browse Full Index Next Integer #5,420,041 →