λ
Sequence Observatory

2,537,605

5 × 7 × 72503
Deficient Odd Composite

Starting at 2,537,605, the Collatz iteration reaches 1 after 130 steps. The first transition is 7612816; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 72503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,480,192
Proper Divisor Sum 942,587
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2537599 ← → #2537627

Radix Representation

Decimal 2537605
Binary 1001101011100010000101 (22 bits)
Octal 0o11534205
Hexadecimal 0x26B885

Divisor Catalog (8)

1 5 7 35 72,503 362,515 507,521 2,537,605

Collatz Trajectory (130 steps to reach 1)

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

2,537,605 7,612,816 3,806,408 1,903,204 951,602 475,801 1,427,404 713,702 356,851 1,070,554 535,277 1,605,832 802,916 401,458 200,729 602,188 301,094 150,547 451,642 225,821 677,464 338,732 169,366 84,683 254,050 127,025 381,076 190,538 95,269 285,808 142,904 71,452 35,726 17,863 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683

More profiles

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