λ
Sequence Observatory

4,728,709

31 × 152539
Deficient Odd Composite

Starting at 4,728,709, the Collatz iteration reaches 1 after 100 steps. The first transition is 14186128; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 152539
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,881,280
Proper Divisor Sum 152,571
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4728697 ← → #4728733

Radix Representation

Decimal 4728709
Binary 10010000010011110000101 (23 bits)
Octal 0o22023605
Hexadecimal 0x482785

Divisor Catalog (4)

1 31 152,539 4,728,709

Collatz Trajectory (100 steps to reach 1)

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

4,728,709 14,186,128 7,093,064 3,546,532 1,773,266 886,633 2,659,900 1,329,950 664,975 1,994,926 997,463 2,992,390 1,496,195 4,488,586 2,244,293 6,732,880 3,366,440 1,683,220 841,610 420,805 1,262,416 631,208 315,604 157,802 78,901 236,704 118,352 59,176 29,588 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836

More profiles

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