7,862,641

7862641

Starting at 7,862,641, the Collatz iteration reaches 1 after 142 steps. The first transition is 23587924; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7862641

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,862,642

Proper Divisor Sum 1

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7862639 ← → #7862669

Radix Representation

Decimal	7862641
Binary	11101111111100101110001 (23 bits)
Octal	0o35774561
Hexadecimal	0x77F971

Divisor Catalog (2)

1 7,862,641

Collatz Trajectory (142 steps to reach 1)

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

7,862,641 23,587,924 11,793,962 5,896,981 17,690,944 8,845,472 4,422,736 2,211,368 1,105,684 552,842 276,421 829,264 414,632 207,316 103,658 51,829 155,488 77,744 38,872 19,436 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233

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