5,407,960

2³ × 5 × 353 × 383

Starting at 5,407,960, the Collatz iteration reaches 1 after 113 steps. The first transition is 2703980; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 353 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,234,240

Proper Divisor Sum 6,826,280

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5407943 ← → #5408003

Radix Representation

Decimal	5407960
Binary	10100101000010011011000 (23 bits)
Octal	0o24502330
Hexadecimal	0x5284D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 353 383 706 766 1,412 1,532 1,765 1,915 2,824 3,064 3,530 3,830 7,060 7,660 14,120 15,320 135,199 270,398 540,796 675,995 1,081,592 1,351,990 2,703,980 5,407,960

Collatz Trajectory (113 steps to reach 1)

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

5,407,960 2,703,980 1,351,990 675,995 2,027,986 1,013,993 3,041,980 1,520,990 760,495 2,281,486 1,140,743 3,422,230 1,711,115 5,133,346 2,566,673 7,700,020 3,850,010 1,925,005 5,775,016 2,887,508 1,443,754 721,877 2,165,632 1,082,816 541,408 270,704 135,352 67,676 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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