6,976,928

2⁵ × 7 × 31147

6,976,928 factors as 2^5 × 7 × 31147. Its 24 positive divisors give a proper-divisor sum of 8,721,664, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 31147

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,698,592

Proper Divisor Sum 8,721,664

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #6976903 ← → #6976939

Radix Representation

Decimal	6976928
Binary	11010100111010110100000 (23 bits)
Octal	0o32472640
Hexadecimal	0x6A75A0

Divisor Catalog (24)

Collatz Trajectory (160 steps to reach 1)

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

6,976,928 3,488,464 1,744,232 872,116 436,058 218,029 654,088 327,044 163,522 81,761 245,284 122,642 61,321 183,964 91,982 45,991 137,974 68,987 206,962 103,481 310,444 155,222 77,611 232,834 116,417 349,252 174,626 87,313 261,940 130,970 65,485 196,456 98,228 49,114 24,557 73,672 36,836 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266

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