λ
Sequence Observatory

8,015,130

2 × 32 × 5 × 89057
Abundant Even Composite

Starting at 8,015,130, the Collatz iteration reaches 1 after 93 steps. The first transition is 4007565; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 89057
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,839,572
Proper Divisor Sum 12,824,442
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8015129 ← → #8015141

Radix Representation

Decimal 8015130
Binary 11110100100110100011010 (23 bits)
Octal 0o36446432
Hexadecimal 0x7A4D1A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 89,057 178,114 267,171 445,285 534,342 801,513 890,570 1,335,855 1,603,026 2,671,710 4,007,565 8,015,130

Collatz Trajectory (93 steps to reach 1)

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

8,015,130 4,007,565 12,022,696 6,011,348 3,005,674 1,502,837 4,508,512 2,254,256 1,127,128 563,564 281,782 140,891 422,674 211,337 634,012 317,006 158,503 475,510 237,755 713,266 356,633 1,069,900 534,950 267,475 802,426 401,213 1,203,640 601,820 300,910 150,455 451,366 225,683 677,050 338,525 1,015,576 507,788 253,894 126,947 380,842 190,421 571,264 285,632 142,816 71,408 35,704 17,852 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848

More profiles

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