5,822,125

5³ × 47 × 991

Starting at 5,822,125, the Collatz iteration reaches 1 after 214 steps. The first transition is 17466376; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 47 × 991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,428,096

Proper Divisor Sum 1,605,971

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5822111 ← → #5822129

Radix Representation

Decimal	5822125
Binary	10110001101011010101101 (23 bits)
Octal	0o26153255
Hexadecimal	0x58D6AD

Divisor Catalog (16)

1 5 25 47 125 235 991 1,175 4,955 5,875 24,775 46,577 123,875 232,885 1,164,425 5,822,125

Collatz Trajectory (214 steps to reach 1)

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

5,822,125 17,466,376 8,733,188 4,366,594 2,183,297 6,549,892 3,274,946 1,637,473 4,912,420 2,456,210 1,228,105 3,684,316 1,842,158 921,079 2,763,238 1,381,619 4,144,858 2,072,429 6,217,288 3,108,644 1,554,322 777,161 2,331,484 1,165,742 582,871 1,748,614 874,307 2,622,922 1,311,461 3,934,384 1,967,192 983,596 491,798 245,899 737,698 368,849 1,106,548 553,274 276,637 829,912 414,956 207,478 103,739 311,218 155,609 466,828 233,414 116,707 350,122 175,061 525,184 262,592 131,296 65,648 32,824 16,412 8,206 4,103 12,310 6,155

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