5,302,589

17 × 379 × 823

Starting at 5,302,589, the Collatz iteration reaches 1 after 126 steps. The first transition is 15907768; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 379 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,636,160

Proper Divisor Sum 333,571

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5302573 ← → #5302603

Radix Representation

Decimal	5302589
Binary	10100001110100100111101 (23 bits)
Octal	0o24164475
Hexadecimal	0x50E93D

Divisor Catalog (8)

1 17 379 823 6,443 13,991 311,917 5,302,589

Collatz Trajectory (126 steps to reach 1)

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

5,302,589 15,907,768 7,953,884 3,976,942 1,988,471 5,965,414 2,982,707 8,948,122 4,474,061 13,422,184 6,711,092 3,355,546 1,677,773 5,033,320 2,516,660 1,258,330 629,165 1,887,496 943,748 471,874 235,937 707,812 353,906 176,953 530,860 265,430 132,715 398,146 199,073 597,220 298,610 149,305 447,916 223,958 111,979 335,938 167,969 503,908 251,954 125,977 377,932 188,966 94,483 283,450 141,725 425,176 212,588 106,294 53,147 159,442 79,721 239,164 119,582 59,791 179,374 89,687 269,062 134,531 403,594 201,797

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