5,840,224

2⁵ × 13 × 101 × 139

Starting at 5,840,224, the Collatz iteration reaches 1 after 64 steps. The first transition is 2920112; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 101 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,594,960

Proper Divisor Sum 6,754,736

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5840213 ← → #5840251

Radix Representation

Decimal	5840224
Binary	10110010001110101100000 (23 bits)
Octal	0o26216540
Hexadecimal	0x591D60

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 101 104 139 202 208 278 404 416 556 808 1,112 1,313 1,616 1,807 2,224 2,626 3,232 3,614 4,448 5,252 7,228 10,504 14,039 14,456 21,008 28,078 28,912 42,016 56,156 57,824 112,312 182,507 224,624 365,014 449,248 730,028 1,460,056 2,920,112 5,840,224

Collatz Trajectory (64 steps to reach 1)

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

5,840,224 2,920,112 1,460,056 730,028 365,014 182,507 547,522 273,761 821,284 410,642 205,321 615,964 307,982 153,991 461,974 230,987 692,962 346,481 1,039,444 519,722 259,861 779,584 389,792 194,896 97,448 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5

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