5,315,937

3 × 11 × 41 × 3929

Starting at 5,315,937, the Collatz iteration reaches 1 after 232 steps. The first transition is 15947812; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 41 × 3929

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,922,880

Proper Divisor Sum 2,606,943

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5315909 ← → #5315957

Radix Representation

Decimal	5315937
Binary	10100010001110101100001 (23 bits)
Octal	0o24216541
Hexadecimal	0x511D61

Divisor Catalog (16)

1 3 11 33 41 123 451 1,353 3,929 11,787 43,219 129,657 161,089 483,267 1,771,979 5,315,937

Collatz Trajectory (232 steps to reach 1)

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

5,315,937 15,947,812 7,973,906 3,986,953 11,960,860 5,980,430 2,990,215 8,970,646 4,485,323 13,455,970 6,727,985 20,183,956 10,091,978 5,045,989 15,137,968 7,568,984 3,784,492 1,892,246 946,123 2,838,370 1,419,185 4,257,556 2,128,778 1,064,389 3,193,168 1,596,584 798,292 399,146 199,573 598,720 299,360 149,680 74,840 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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