λ
Sequence Observatory

5,020,367

11 × 229 × 1993
Deficient Odd Composite

Starting at 5,020,367, the Collatz iteration reaches 1 after 162 steps. The first transition is 15061102; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 229 × 1993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,503,440
Proper Divisor Sum 483,073
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5020349 ← → #5020373

Radix Representation

Decimal 5020367
Binary 10011001001101011001111 (23 bits)
Octal 0o23115317
Hexadecimal 0x4C9ACF

Divisor Catalog (8)

1 11 229 1,993 2,519 21,923 456,397 5,020,367

Collatz Trajectory (162 steps to reach 1)

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

5,020,367 15,061,102 7,530,551 22,591,654 11,295,827 33,887,482 16,943,741 50,831,224 25,415,612 12,707,806 6,353,903 19,061,710 9,530,855 28,592,566 14,296,283 42,888,850 21,444,425 64,333,276 32,166,638 16,083,319 48,249,958 24,124,979 72,374,938 36,187,469 108,562,408 54,281,204 27,140,602 13,570,301 40,710,904 20,355,452 10,177,726 5,088,863 15,266,590 7,633,295 22,899,886 11,449,943 34,349,830 17,174,915 51,524,746 25,762,373 77,287,120 38,643,560 19,321,780 9,660,890 4,830,445 14,491,336 7,245,668 3,622,834 1,811,417 5,434,252 2,717,126 1,358,563 4,075,690 2,037,845 6,113,536 3,056,768 1,528,384 764,192 382,096 191,048

More profiles

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