5,427,040

2⁵ × 5 × 107 × 317

5,427,040 has the prime decomposition 2^5 × 5 × 107 × 317. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 107 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,982,032

Proper Divisor Sum 7,554,992

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #5427017 ← → #5427061

Radix Representation

Decimal	5427040
Binary	10100101100111101100000 (23 bits)
Octal	0o24547540
Hexadecimal	0x52CF60

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 107 160 214 317 428 535 634 856 1,070 1,268 1,585 1,712 2,140 2,536 3,170 3,424 4,280 5,072 6,340 8,560 10,144 12,680 17,120 25,360 33,919 50,720 67,838 135,676 169,595 271,352 339,190 542,704 678,380 1,085,408 1,356,760 2,713,520 5,427,040

Collatz Trajectory (170 steps to reach 1)

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

5,427,040 2,713,520 1,356,760 678,380 339,190 169,595 508,786 254,393 763,180 381,590 190,795 572,386 286,193 858,580 429,290 214,645 643,936 321,968 160,984 80,492 40,246 20,123 60,370 30,185 90,556 45,278 22,639 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199 81,598 40,799 122,398 61,199 183,598 91,799 275,398 137,699 413,098 206,549

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