2,083,624

2³ × 260453

Starting at 2,083,624, the Collatz iteration reaches 1 after 78 steps. The first transition is 1041812; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 260453

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,906,810

Proper Divisor Sum 1,823,186

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2083591 ← → #2083643

Radix Representation

Decimal	2083624
Binary	111111100101100101000 (21 bits)
Octal	0o7745450
Hexadecimal	0x1FCB28

Divisor Catalog (8)

1 2 4 8 260,453 520,906 1,041,812 2,083,624

Collatz Trajectory (78 steps to reach 1)

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

2,083,624 1,041,812 520,906 260,453 781,360 390,680 195,340 97,670 48,835 146,506 73,253 219,760 109,880 54,940 27,470 13,735 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368

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