λ
Sequence Observatory

7,711,985

5 × 97 × 15901
Deficient Odd Composite

Starting at 7,711,985, the Collatz iteration reaches 1 after 230 steps. The first transition is 23135956; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 97 × 15901
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,350,376
Proper Divisor Sum 1,638,391
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7711981 ← → #7711987

Radix Representation

Decimal 7711985
Binary 11101011010110011110001 (23 bits)
Octal 0o35326361
Hexadecimal 0x75ACF1

Divisor Catalog (8)

1 5 97 485 15,901 79,505 1,542,397 7,711,985

Collatz Trajectory (230 steps to reach 1)

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

7,711,985 23,135,956 11,567,978 5,783,989 17,351,968 8,675,984 4,337,992 2,168,996 1,084,498 542,249 1,626,748 813,374 406,687 1,220,062 610,031 1,830,094 915,047 2,745,142 1,372,571 4,117,714 2,058,857 6,176,572 3,088,286 1,544,143 4,632,430 2,316,215 6,948,646 3,474,323 10,422,970 5,211,485 15,634,456 7,817,228 3,908,614 1,954,307 5,862,922 2,931,461 8,794,384 4,397,192 2,198,596 1,099,298 549,649 1,648,948 824,474 412,237 1,236,712 618,356 309,178 154,589 463,768 231,884 115,942 57,971 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914

More profiles

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