λ
Sequence Observatory

7,876,487

29 × 271603
Deficient Odd Composite

Starting at 7,876,487, the Collatz iteration reaches 1 after 173 steps. The first transition is 23629462; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 29 × 271603
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,148,120
Proper Divisor Sum 271,633
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7876483 ← → #7876493

Radix Representation

Decimal 7876487
Binary 11110000010111110000111 (23 bits)
Octal 0o36027607
Hexadecimal 0x782F87

Divisor Catalog (4)

1 29 271,603 7,876,487

Collatz Trajectory (173 steps to reach 1)

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

7,876,487 23,629,462 11,814,731 35,444,194 17,722,097 53,166,292 26,583,146 13,291,573 39,874,720 19,937,360 9,968,680 4,984,340 2,492,170 1,246,085 3,738,256 1,869,128 934,564 467,282 233,641 700,924 350,462 175,231 525,694 262,847 788,542 394,271 1,182,814 591,407 1,774,222 887,111 2,661,334 1,330,667 3,992,002 1,996,001 5,988,004 2,994,002 1,497,001 4,491,004 2,245,502 1,122,751 3,368,254 1,684,127 5,052,382 2,526,191 7,578,574 3,789,287 11,367,862 5,683,931 17,051,794 8,525,897 25,577,692 12,788,846 6,394,423 19,183,270 9,591,635 28,774,906 14,387,453 43,162,360 21,581,180 10,790,590

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