2,118,967

23 × 181 × 509

2,118,967 factors as 23 × 181 × 509. Its 8 positive divisors give a proper-divisor sum of 108,713, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 23 × 181 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,227,680

Proper Divisor Sum 108,713

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2118959 ← → #2118973

Radix Representation

Decimal	2118967
Binary	1000000101010100110111 (22 bits)
Octal	0o10052467
Hexadecimal	0x205537

Divisor Catalog (8)

1 23 181 509 4,163 11,707 92,129 2,118,967

Collatz Trajectory (148 steps to reach 1)

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

2,118,967 6,356,902 3,178,451 9,535,354 4,767,677 14,303,032 7,151,516 3,575,758 1,787,879 5,363,638 2,681,819 8,045,458 4,022,729 12,068,188 6,034,094 3,017,047 9,051,142 4,525,571 13,576,714 6,788,357 20,365,072 10,182,536 5,091,268 2,545,634 1,272,817 3,818,452 1,909,226 954,613 2,863,840 1,431,920 715,960 357,980 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441

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