λ
Sequence Observatory

5,217,817

11 × 474347
Deficient Odd Composite

Starting at 5,217,817, the Collatz iteration reaches 1 after 206 steps. The first transition is 15653452; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 474347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,692,176
Proper Divisor Sum 474,359
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5217809 ← → #5217841

Radix Representation

Decimal 5217817
Binary 10011111001111000011001 (23 bits)
Octal 0o23717031
Hexadecimal 0x4F9E19

Divisor Catalog (4)

1 11 474,347 5,217,817

Collatz Trajectory (206 steps to reach 1)

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

5,217,817 15,653,452 7,826,726 3,913,363 11,740,090 5,870,045 17,610,136 8,805,068 4,402,534 2,201,267 6,603,802 3,301,901 9,905,704 4,952,852 2,476,426 1,238,213 3,714,640 1,857,320 928,660 464,330 232,165 696,496 348,248 174,124 87,062 43,531 130,594 65,297 195,892 97,946 48,973 146,920 73,460 36,730 18,365 55,096 27,548 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610

More profiles

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