λ
Prime Ledger

6,976,965

3 × 5 × 29 × 43 × 373
Deficient Odd Composite

6,976,965 has the prime decomposition 3 × 5 × 29 × 43 × 373. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 43 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,848,320
Proper Divisor Sum 4,871,355
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6976961 ← → #6976993

Radix Representation

Decimal 6976965
Binary 11010100111010111000101 (23 bits)
Octal 0o32472705
Hexadecimal 0x6A75C5

Divisor Catalog (32)

1 3 5 15 29 43 87 129 145 215 373 435 645 1,119 1,247 1,865 3,741 5,595 6,235 10,817 16,039 18,705 32,451 48,117 54,085 80,195 162,255 240,585 465,131 1,395,393 2,325,655 6,976,965

Collatz Trajectory (160 steps to reach 1)

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

6,976,965 20,930,896 10,465,448 5,232,724 2,616,362 1,308,181 3,924,544 1,962,272 981,136 490,568 245,284 122,642 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

More profiles

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