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Atlas › Integer Profiles › Node 6,940,968

6,940,968

23 × 3 × 137 × 2111
Abundant Even Composite

6,940,968 factors as 2^3 × 3 × 137 × 2111. Its 32 positive divisors give a proper-divisor sum of 10,546,392, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 137 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,487,360
Proper Divisor Sum 10,546,392
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6940961 ← → #6940987

Radix Representation

Decimal 6940968
Binary 11010011110100100101000 (23 bits)
Octal 0o32364450
Hexadecimal 0x69E928

Divisor Catalog (32)

1 2 3 4 6 8 12 24 137 274 411 548 822 1,096 1,644 2,111 3,288 4,222 6,333 8,444 12,666 16,888 25,332 50,664 289,207 578,414 867,621 1,156,828 1,735,242 2,313,656 3,470,484 6,940,968

Collatz Trajectory (85 steps to reach 1)

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

6,940,968 3,470,484 1,735,242 867,621 2,602,864 1,301,432 650,716 325,358 162,679 488,038 244,019 732,058 366,029 1,098,088 549,044 274,522 137,261 411,784 205,892 102,946 51,473 154,420 77,210 38,605 115,816 57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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