8,838,842

2 × 103 × 107 × 401

Starting at 8,838,842, the Collatz iteration reaches 1 after 181 steps. The first transition is 4419421; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 103 × 107 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,545,792

Proper Divisor Sum 4,706,950

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8838833 ← → #8838853

Radix Representation

Decimal	8838842
Binary	100001101101111010111010 (24 bits)
Octal	0o41557272
Hexadecimal	0x86DEBA

Divisor Catalog (16)

1 2 103 107 206 214 401 802 11,021 22,042 41,303 42,907 82,606 85,814 4,419,421 8,838,842

Collatz Trajectory (181 steps to reach 1)

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

8,838,842 4,419,421 13,258,264 6,629,132 3,314,566 1,657,283 4,971,850 2,485,925 7,457,776 3,728,888 1,864,444 932,222 466,111 1,398,334 699,167 2,097,502 1,048,751 3,146,254 1,573,127 4,719,382 2,359,691 7,079,074 3,539,537 10,618,612 5,309,306 2,654,653 7,963,960 3,981,980 1,990,990 995,495 2,986,486 1,493,243 4,479,730 2,239,865 6,719,596 3,359,798 1,679,899 5,039,698 2,519,849 7,559,548 3,779,774 1,889,887 5,669,662 2,834,831 8,504,494 4,252,247 12,756,742 6,378,371 19,135,114 9,567,557 28,702,672 14,351,336 7,175,668 3,587,834 1,793,917 5,381,752 2,690,876 1,345,438 672,719 2,018,158

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