7,892,410

2 × 5 × 19 × 41539

Starting at 7,892,410, the Collatz iteration reaches 1 after 142 steps. The first transition is 3946205; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 41539

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,954,400

Proper Divisor Sum 7,061,990

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7892393 ← → #7892413

Radix Representation

Decimal	7892410
Binary	11110000110110110111010 (23 bits)
Octal	0o36066672
Hexadecimal	0x786DBA

Divisor Catalog (16)

1 2 5 10 19 38 95 190 41,539 83,078 207,695 415,390 789,241 1,578,482 3,946,205 7,892,410

Collatz Trajectory (142 steps to reach 1)

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

7,892,410 3,946,205 11,838,616 5,919,308 2,959,654 1,479,827 4,439,482 2,219,741 6,659,224 3,329,612 1,664,806 832,403 2,497,210 1,248,605 3,745,816 1,872,908 936,454 468,227 1,404,682 702,341 2,107,024 1,053,512 526,756 263,378 131,689 395,068 197,534 98,767 296,302 148,151 444,454 222,227 666,682 333,341 1,000,024 500,012 250,006 125,003 375,010 187,505 562,516 281,258 140,629 421,888 210,944 105,472 52,736 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233

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