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Atlas › Integer Profiles › Node 6,506,992

6,506,992

24 × 59 × 61 × 113
Abundant Even Composite

6,506,992 factors as 2^4 × 59 × 61 × 113. Its 40 positive divisors give a proper-divisor sum of 6,639,488, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^4 × 59 × 61 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,146,480
Proper Divisor Sum 6,639,488
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6506963 ← → #6507023

Radix Representation

Decimal 6506992
Binary 11000110100100111110000 (23 bits)
Octal 0o30644760
Hexadecimal 0x6349F0

Divisor Catalog (40)

1 2 4 8 16 59 61 113 118 122 226 236 244 452 472 488 904 944 976 1,808 3,599 6,667 6,893 7,198 13,334 13,786 14,396 26,668 27,572 28,792 53,336 55,144 57,584 106,672 110,288 406,687 813,374 1,626,748 3,253,496 6,506,992

Collatz Trajectory (222 steps to reach 1)

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

6,506,992 3,253,496 1,626,748 813,374 406,687 1,220,062 610,031 1,830,094 915,047 2,745,142 1,372,571 4,117,714 2,058,857 6,176,572 3,088,286 1,544,143 4,632,430 2,316,215 6,948,646 3,474,323 10,422,970 5,211,485 15,634,456 7,817,228 3,908,614 1,954,307 5,862,922 2,931,461 8,794,384 4,397,192 2,198,596 1,099,298 549,649 1,648,948 824,474 412,237 1,236,712 618,356 309,178 154,589 463,768 231,884 115,942 57,971 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273

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