λ
Sequence Observatory

1,599,010

2 × 5 × 7 × 53 × 431
Abundant Even Composite

Starting at 1,599,010, the Collatz iteration reaches 1 after 207 steps. The first transition is 799505; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 53 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,359,232
Proper Divisor Sum 1,760,222
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1598999 ← → #1599023

Radix Representation

Decimal 1599010
Binary 110000110011000100010 (21 bits)
Octal 0o6063042
Hexadecimal 0x186622

Divisor Catalog (32)

1 2 5 7 10 14 35 53 70 106 265 371 431 530 742 862 1,855 2,155 3,017 3,710 4,310 6,034 15,085 22,843 30,170 45,686 114,215 159,901 228,430 319,802 799,505 1,599,010

Collatz Trajectory (207 steps to reach 1)

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

1,599,010 799,505 2,398,516 1,199,258 599,629 1,798,888 899,444 449,722 224,861 674,584 337,292 168,646 84,323 252,970 126,485 379,456 189,728 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151

More profiles

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