5,408,715

3 × 5 × 13 × 27737

Starting at 5,408,715, the Collatz iteration reaches 1 after 87 steps. The first transition is 16226146; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 27737

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,319,968

Proper Divisor Sum 3,911,253

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5408701 ← → #5408717

Radix Representation

Decimal	5408715
Binary	10100101000011111001011 (23 bits)
Octal	0o24503713
Hexadecimal	0x5287CB

Divisor Catalog (16)

1 3 5 13 15 39 65 195 27,737 83,211 138,685 360,581 416,055 1,081,743 1,802,905 5,408,715

Collatz Trajectory (87 steps to reach 1)

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

5,408,715 16,226,146 8,113,073 24,339,220 12,169,610 6,084,805 18,254,416 9,127,208 4,563,604 2,281,802 1,140,901 3,422,704 1,711,352 855,676 427,838 213,919 641,758 320,879 962,638 481,319 1,443,958 721,979 2,165,938 1,082,969 3,248,908 1,624,454 812,227 2,436,682 1,218,341 3,655,024 1,827,512 913,756 456,878 228,439 685,318 342,659 1,027,978 513,989 1,541,968 770,984 385,492 192,746 96,373 289,120 144,560 72,280 36,140 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953

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