2,615,333

7 × 307 × 1217

Starting at 2,615,333, the Collatz iteration reaches 1 after 81 steps. The first transition is 7846000; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 307 × 1217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,001,152

Proper Divisor Sum 385,819

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2615329 ← → #2615341

Radix Representation

Decimal	2615333
Binary	1001111110100000100101 (22 bits)
Octal	0o11764045
Hexadecimal	0x27E825

Divisor Catalog (8)

1 7 307 1,217 2,149 8,519 373,619 2,615,333

Collatz Trajectory (81 steps to reach 1)

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

2,615,333 7,846,000 3,923,000 1,961,500 980,750 490,375 1,471,126 735,563 2,206,690 1,103,345 3,310,036 1,655,018 827,509 2,482,528 1,241,264 620,632 310,316 155,158 77,579 232,738 116,369 349,108 174,554 87,277 261,832 130,916 65,458 32,729 98,188 49,094 24,547 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77

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