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Atlas › Integer Profiles › Node 15,422,056

15,422,056

23 × 13 × 257 × 577
Abundant Even Composite

15,422,056 factors as 2^3 × 13 × 257 × 577. Its 32 positive divisors give a proper-divisor sum of 15,893,984, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 257 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,316,040
Proper Divisor Sum 15,893,984
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15422023 ← → #15422089

Radix Representation

Decimal 15422056
Binary 111010110101001001101000 (24 bits)
Octal 0o72651150
Hexadecimal 0xEB5268

Divisor Catalog (32)

1 2 4 8 13 26 52 104 257 514 577 1,028 1,154 2,056 2,308 3,341 4,616 6,682 7,501 13,364 15,002 26,728 30,004 60,008 148,289 296,578 593,156 1,186,312 1,927,757 3,855,514 7,711,028 15,422,056

Collatz Trajectory (218 steps to reach 1)

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

15,422,056 7,711,028 3,855,514 1,927,757 5,783,272 2,891,636 1,445,818 722,909 2,168,728 1,084,364 542,182 271,091 813,274 406,637 1,219,912 609,956 304,978 152,489 457,468 228,734 114,367 343,102 171,551 514,654 257,327 771,982 385,991 1,157,974 578,987 1,736,962 868,481 2,605,444 1,302,722 651,361 1,954,084 977,042 488,521 1,465,564 732,782 366,391 1,099,174 549,587 1,648,762 824,381 2,473,144 1,236,572 618,286 309,143 927,430 463,715 1,391,146 695,573 2,086,720 1,043,360 521,680 260,840 130,420 65,210 32,605 97,816

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