λ
Sequence Observatory

4,918,135

5 × 53 × 67 × 277
Deficient Odd Composite

Starting at 4,918,135, the Collatz iteration reaches 1 after 281 steps. The first transition is 14754406; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 53 × 67 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,124,896
Proper Divisor Sum 1,206,761
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4918129 ← → #4918171

Radix Representation

Decimal 4918135
Binary 10010110000101101110111 (23 bits)
Octal 0o22605567
Hexadecimal 0x4B0B77

Divisor Catalog (16)

1 5 53 67 265 277 335 1,385 3,551 14,681 17,755 18,559 73,405 92,795 983,627 4,918,135

Collatz Trajectory (281 steps to reach 1)

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

4,918,135 14,754,406 7,377,203 22,131,610 11,065,805 33,197,416 16,598,708 8,299,354 4,149,677 12,449,032 6,224,516 3,112,258 1,556,129 4,668,388 2,334,194 1,167,097 3,501,292 1,750,646 875,323 2,625,970 1,312,985 3,938,956 1,969,478 984,739 2,954,218 1,477,109 4,431,328 2,215,664 1,107,832 553,916 276,958 138,479 415,438 207,719 623,158 311,579 934,738 467,369 1,402,108 701,054 350,527 1,051,582 525,791 1,577,374 788,687 2,366,062 1,183,031 3,549,094 1,774,547 5,323,642 2,661,821 7,985,464 3,992,732 1,996,366 998,183 2,994,550 1,497,275 4,491,826 2,245,913 6,737,740

More profiles

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