5,490,320

2⁴ × 5 × 11 × 17 × 367

5,490,320 has the prime decomposition 2^4 × 5 × 11 × 17 × 367. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 17 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 14,784,768

Proper Divisor Sum 9,294,448

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5490313 ← → #5490343

Radix Representation

Decimal	5490320
Binary	10100111100011010010000 (23 bits)
Octal	0o24743220
Hexadecimal	0x53C690

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 367 374 440 680 734 748 880 935 1,360 1,468 1,496 1,835 1,870 2,936 2,992 3,670 3,740 4,037 5,872 6,239 7,340 7,480 8,074 12,478 14,680 14,960 16,148 20,185 24,956 29,360 31,195 32,296 40,370

Collatz Trajectory (157 steps to reach 1)

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

5,490,320 2,745,160 1,372,580 686,290 343,145 1,029,436 514,718 257,359 772,078 386,039 1,158,118 579,059 1,737,178 868,589 2,605,768 1,302,884 651,442 325,721 977,164 488,582 244,291 732,874 366,437 1,099,312 549,656 274,828 137,414 68,707 206,122 103,061 309,184 154,592 77,296 38,648 19,324 9,662 4,831 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970

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