5,314,635

3² × 5 × 89 × 1327

Starting at 5,314,635, the Collatz iteration reaches 1 after 232 steps. The first transition is 15943906; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 89 × 1327

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,322,560

Proper Divisor Sum 4,007,925

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5314613 ← → #5314637

Radix Representation

Decimal	5314635
Binary	10100010001100001001011 (23 bits)
Octal	0o24214113
Hexadecimal	0x51184B

Divisor Catalog (24)

1 3 5 9 15 45 89 267 445 801 1,327 1,335 3,981 4,005 6,635 11,943 19,905 59,715 118,103 354,309 590,515 1,062,927 1,771,545 5,314,635

Collatz Trajectory (232 steps to reach 1)

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

5,314,635 15,943,906 7,971,953 23,915,860 11,957,930 5,978,965 17,936,896 8,968,448 4,484,224 2,242,112 1,121,056 560,528 280,264 140,132 70,066 35,033 105,100 52,550 26,275 78,826 39,413 118,240 59,120 29,560 14,780 7,390 3,695 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937

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