7,889,813

317 × 24889

Starting at 7,889,813, the Collatz iteration reaches 1 after 142 steps. The first transition is 23669440; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 317 × 24889

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,915,020

Proper Divisor Sum 25,207

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7889803 ← → #7889821

Radix Representation

Decimal	7889813
Binary	11110000110001110010101 (23 bits)
Octal	0o36061625
Hexadecimal	0x786395

Divisor Catalog (4)

1 317 24,889 7,889,813

Collatz Trajectory (142 steps to reach 1)

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

7,889,813 23,669,440 11,834,720 5,917,360 2,958,680 1,479,340 739,670 369,835 1,109,506 554,753 1,664,260 832,130 416,065 1,248,196 624,098 312,049 936,148 468,074 234,037 702,112 351,056 175,528 87,764 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233

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