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Atlas › Integer Profiles › Node 7,260,448

7,260,448

25 × 13 × 31 × 563
Abundant Even Composite

7,260,448 factors as 2^5 × 13 × 31 × 563. Its 48 positive divisors give a proper-divisor sum of 8,657,888, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 31 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,918,336
Proper Divisor Sum 8,657,888
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7260443 ← → #7260457

Radix Representation

Decimal 7260448
Binary 11011101100100100100000 (23 bits)
Octal 0o33544440
Hexadecimal 0x6EC920

Divisor Catalog (48)

1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 563 806 992 1,126 1,612 2,252 3,224 4,504 6,448 7,319 9,008 12,896 14,638 17,453 18,016 29,276 34,906 58,552 69,812 117,104 139,624 226,889 234,208 279,248 453,778 558,496 907,556 1,815,112 3,630,224 7,260,448

Collatz Trajectory (191 steps to reach 1)

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

7,260,448 3,630,224 1,815,112 907,556 453,778 226,889 680,668 340,334 170,167 510,502 255,251 765,754 382,877 1,148,632 574,316 287,158 143,579 430,738 215,369 646,108 323,054 161,527 484,582 242,291 726,874 363,437 1,090,312 545,156 272,578 136,289 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676

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