2,115,123

3 × 17 × 67 × 619

Starting at 2,115,123, the Collatz iteration reaches 1 after 210 steps. The first transition is 6345370; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 67 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,035,520

Proper Divisor Sum 920,397

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2115121 ← → #2115131

Radix Representation

Decimal	2115123
Binary	1000000100011000110011 (22 bits)
Octal	0o10043063
Hexadecimal	0x204633

Divisor Catalog (16)

1 3 17 51 67 201 619 1,139 1,857 3,417 10,523 31,569 41,473 124,419 705,041 2,115,123

Collatz Trajectory (210 steps to reach 1)

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

2,115,123 6,345,370 3,172,685 9,518,056 4,759,028 2,379,514 1,189,757 3,569,272 1,784,636 892,318 446,159 1,338,478 669,239 2,007,718 1,003,859 3,011,578 1,505,789 4,517,368 2,258,684 1,129,342 564,671 1,694,014 847,007 2,541,022 1,270,511 3,811,534 1,905,767 5,717,302 2,858,651 8,575,954 4,287,977 12,863,932 6,431,966 3,215,983 9,647,950 4,823,975 14,471,926 7,235,963 21,707,890 10,853,945 32,561,836 16,280,918 8,140,459 24,421,378 12,210,689 36,632,068 18,316,034 9,158,017 27,474,052 13,737,026 6,868,513 20,605,540 10,302,770 5,151,385 15,454,156 7,727,078 3,863,539 11,590,618 5,795,309 17,385,928

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