2,413,591

47 × 89 × 577

Starting at 2,413,591, the Collatz iteration reaches 1 after 236 steps. The first transition is 7240774; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 89 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,496,960

Proper Divisor Sum 83,369

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2413577 ← → #2413601

Radix Representation

Decimal	2413591
Binary	1001001101010000010111 (22 bits)
Octal	0o11152027
Hexadecimal	0x24D417

Divisor Catalog (8)

1 47 89 577 4,183 27,119 51,353 2,413,591

Collatz Trajectory (236 steps to reach 1)

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

2,413,591 7,240,774 3,620,387 10,861,162 5,430,581 16,291,744 8,145,872 4,072,936 2,036,468 1,018,234 509,117 1,527,352 763,676 381,838 190,919 572,758 286,379 859,138 429,569 1,288,708 644,354 322,177 966,532 483,266 241,633 724,900 362,450 181,225 543,676 271,838 135,919 407,758 203,879 611,638 305,819 917,458 458,729 1,376,188 688,094 344,047 1,032,142 516,071 1,548,214 774,107 2,322,322 1,161,161 3,483,484 1,741,742 870,871 2,612,614 1,306,307 3,918,922 1,959,461 5,878,384 2,939,192 1,469,596 734,798 367,399 1,102,198 551,099

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