λ
Sequence Observatory

6,372,307

47 × 135581
Deficient Odd Composite

Starting at 6,372,307, the Collatz iteration reaches 1 after 209 steps. The first transition is 19116922; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 47 × 135581
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,507,936
Proper Divisor Sum 135,629
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6372293 ← → #6372313

Radix Representation

Decimal 6372307
Binary 11000010011101111010011 (23 bits)
Octal 0o30235723
Hexadecimal 0x613BD3

Divisor Catalog (4)

1 47 135,581 6,372,307

Collatz Trajectory (209 steps to reach 1)

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

6,372,307 19,116,922 9,558,461 28,675,384 14,337,692 7,168,846 3,584,423 10,753,270 5,376,635 16,129,906 8,064,953 24,194,860 12,097,430 6,048,715 18,146,146 9,073,073 27,219,220 13,609,610 6,804,805 20,414,416 10,207,208 5,103,604 2,551,802 1,275,901 3,827,704 1,913,852 956,926 478,463 1,435,390 717,695 2,153,086 1,076,543 3,229,630 1,614,815 4,844,446 2,422,223 7,266,670 3,633,335 10,900,006 5,450,003 16,350,010 8,175,005 24,525,016 12,262,508 6,131,254 3,065,627 9,196,882 4,598,441 13,795,324 6,897,662 3,448,831 10,346,494 5,173,247 15,519,742 7,759,871 23,279,614 11,639,807 34,919,422 17,459,711 52,379,134

More profiles

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