λ
Sequence Observatory

6,187,007

6187007
Deficient Odd Prime

Starting at 6,187,007, the Collatz iteration reaches 1 after 364 steps. The first transition is 18561022; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6187007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,187,008
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6187003 ← → #6187019

Radix Representation

Decimal 6187007
Binary 10111100110011111111111 (23 bits)
Octal 0o27463777
Hexadecimal 0x5E67FF

Divisor Catalog (2)

Collatz Trajectory (364 steps to reach 1)

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

6,187,007 18,561,022 9,280,511 27,841,534 13,920,767 41,762,302 20,881,151 62,643,454 31,321,727 93,965,182 46,982,591 140,947,774 70,473,887 211,421,662 105,710,831 317,132,494 158,566,247 475,698,742 237,849,371 713,548,114 356,774,057 1,070,322,172 535,161,086 267,580,543 802,741,630 401,370,815 1,204,112,446 602,056,223 1,806,168,670 903,084,335 2,709,253,006 1,354,626,503 4,063,879,510 2,031,939,755 6,095,819,266 3,047,909,633 9,143,728,900 4,571,864,450 2,285,932,225 6,857,796,676 3,428,898,338 1,714,449,169 5,143,347,508 2,571,673,754 1,285,836,877 3,857,510,632 1,928,755,316 964,377,658 482,188,829 1,446,566,488 723,283,244 361,641,622 180,820,811 542,462,434 271,231,217 813,693,652 406,846,826 203,423,413 610,270,240 305,135,120

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