λ
Sequence Observatory

2,587,547

2587547
Deficient Odd Prime

Starting at 2,587,547, the Collatz iteration reaches 1 after 218 steps. The first transition is 7762642; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2587547
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,587,548
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2587537 ← → #2587549

Radix Representation

Decimal 2587547
Binary 1001110111101110011011 (22 bits)
Octal 0o11675633
Hexadecimal 0x277B9B

Divisor Catalog (2)

Collatz Trajectory (218 steps to reach 1)

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

2,587,547 7,762,642 3,881,321 11,643,964 5,821,982 2,910,991 8,732,974 4,366,487 13,099,462 6,549,731 19,649,194 9,824,597 29,473,792 14,736,896 7,368,448 3,684,224 1,842,112 921,056 460,528 230,264 115,132 57,566 28,783 86,350 43,175 129,526 64,763 194,290 97,145 291,436 145,718 72,859 218,578 109,289 327,868 163,934 81,967 245,902 122,951 368,854 184,427 553,282 276,641 829,924 414,962 207,481 622,444 311,222 155,611 466,834 233,417 700,252 350,126 175,063 525,190 262,595 787,786 393,893 1,181,680 590,840

More profiles

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