2,187,127

1361 × 1607

Starting at 2,187,127, the Collatz iteration reaches 1 after 210 steps. The first transition is 6561382; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1361 × 1607

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,190,096

Proper Divisor Sum 2,969

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2187121 ← → #2187149

Radix Representation

Decimal	2187127
Binary	1000010101111101110111 (22 bits)
Octal	0o10257567
Hexadecimal	0x215F77

Divisor Catalog (4)

1 1,361 1,607 2,187,127

Collatz Trajectory (210 steps to reach 1)

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

2,187,127 6,561,382 3,280,691 9,842,074 4,921,037 14,763,112 7,381,556 3,690,778 1,845,389 5,536,168 2,768,084 1,384,042 692,021 2,076,064 1,038,032 519,016 259,508 129,754 64,877 194,632 97,316 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243

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