λ
Prime Ledger

6,727,407

3 × 2242469
Deficient Odd Composite

6,727,407 has the prime decomposition 3 × 2242469. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2242469
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,969,880
Proper Divisor Sum 2,242,473
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6727397 ← → #6727417

Radix Representation

Decimal 6727407
Binary 11001101010011011101111 (23 bits)
Octal 0o31523357
Hexadecimal 0x66A6EF

Divisor Catalog (4)

1 3 2,242,469 6,727,407

Collatz Trajectory (209 steps to reach 1)

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

6,727,407 20,182,222 10,091,111 30,273,334 15,136,667 45,410,002 22,705,001 68,115,004 34,057,502 17,028,751 51,086,254 25,543,127 76,629,382 38,314,691 114,944,074 57,472,037 172,416,112 86,208,056 43,104,028 21,552,014 10,776,007 32,328,022 16,164,011 48,492,034 24,246,017 72,738,052 36,369,026 18,184,513 54,553,540 27,276,770 13,638,385 40,915,156 20,457,578 10,228,789 30,686,368 15,343,184 7,671,592 3,835,796 1,917,898 958,949 2,876,848 1,438,424 719,212 359,606 179,803 539,410 269,705 809,116 404,558 202,279 606,838 303,419 910,258 455,129 1,365,388 682,694 341,347 1,024,042 512,021 1,536,064

More profiles

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