λ
Sequence Observatory

6,427,583

6427583
Deficient Odd Prime

Starting at 6,427,583, the Collatz iteration reaches 1 after 271 steps. The first transition is 19282750; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6427583
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,427,584
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6427573 ← → #6427591

Radix Representation

Decimal 6427583
Binary 11000100001001110111111 (23 bits)
Octal 0o30411677
Hexadecimal 0x6213BF

Divisor Catalog (2)

Collatz Trajectory (271 steps to reach 1)

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

6,427,583 19,282,750 9,641,375 28,924,126 14,462,063 43,386,190 21,693,095 65,079,286 32,539,643 97,618,930 48,809,465 146,428,396 73,214,198 36,607,099 109,821,298 54,910,649 164,731,948 82,365,974 41,182,987 123,548,962 61,774,481 185,323,444 92,661,722 46,330,861 138,992,584 69,496,292 34,748,146 17,374,073 52,122,220 26,061,110 13,030,555 39,091,666 19,545,833 58,637,500 29,318,750 14,659,375 43,978,126 21,989,063 65,967,190 32,983,595 98,950,786 49,475,393 148,426,180 74,213,090 37,106,545 111,319,636 55,659,818 27,829,909 83,489,728 41,744,864 20,872,432 10,436,216 5,218,108 2,609,054 1,304,527 3,913,582 1,956,791 5,870,374 2,935,187 8,805,562

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