λ
Sequence Observatory

499,215

3 × 5 × 23 × 1447
Deficient Odd Composite

Starting at 499,215, the Collatz iteration reaches 1 after 89 steps. The first transition is 1497646; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 834,048
Proper Divisor Sum 334,833
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #499211 ← → #499229

Radix Representation

Decimal 499215
Binary 1111001111000001111 (19 bits)
Octal 0o1717017
Hexadecimal 0x79E0F

Divisor Catalog (16)

1 3 5 15 23 69 115 345 1,447 4,341 7,235 21,705 33,281 99,843 166,405 499,215

Collatz Trajectory (89 steps to reach 1)

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

499,215 1,497,646 748,823 2,246,470 1,123,235 3,369,706 1,684,853 5,054,560 2,527,280 1,263,640 631,820 315,910 157,955 473,866 236,933 710,800 355,400 177,700 88,850 44,425 133,276 66,638 33,319 99,958 49,979 149,938 74,969 224,908 112,454 56,227 168,682 84,341 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89

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