2,597,689

23 × 53 × 2131

Starting at 2,597,689, the Collatz iteration reaches 1 after 112 steps. The first transition is 7793068; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 53 × 2131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,763,072

Proper Divisor Sum 165,383

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #2597687 ← → #2597701

Radix Representation

Decimal	2597689
Binary	1001111010001100111001 (22 bits)
Octal	0o11721471
Hexadecimal	0x27A339

Divisor Catalog (8)

1 23 53 1,219 2,131 49,013 112,943 2,597,689

Collatz Trajectory (112 steps to reach 1)

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

2,597,689 7,793,068 3,896,534 1,948,267 5,844,802 2,922,401 8,767,204 4,383,602 2,191,801 6,575,404 3,287,702 1,643,851 4,931,554 2,465,777 7,397,332 3,698,666 1,849,333 5,548,000 2,774,000 1,387,000 693,500 346,750 173,375 520,126 260,063 780,190 390,095 1,170,286 585,143 1,755,430 877,715 2,633,146 1,316,573 3,949,720 1,974,860 987,430 493,715 1,481,146 740,573 2,221,720 1,110,860 555,430 277,715 833,146 416,573 1,249,720 624,860 312,430 156,215 468,646 234,323 702,970 351,485 1,054,456 527,228 263,614 131,807 395,422 197,711 593,134

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