λ
Sequence Observatory

1,599,630

2 × 3 × 5 × 71 × 751
Abundant Even Composite

Starting at 1,599,630, the Collatz iteration reaches 1 after 194 steps. The first transition is 799815; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 71 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,898,368
Proper Divisor Sum 2,298,738
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1599617 ← → #1599677

Radix Representation

Decimal 1599630
Binary 110000110100010001110 (21 bits)
Octal 0o6064216
Hexadecimal 0x18688E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 71 142 213 355 426 710 751 1,065 1,502 2,130 2,253 3,755 4,506 7,510 11,265 22,530 53,321 106,642 159,963 266,605 319,926 533,210 799,815 1,599,630

Collatz Trajectory (194 steps to reach 1)

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

1,599,630 799,815 2,399,446 1,199,723 3,599,170 1,799,585 5,398,756 2,699,378 1,349,689 4,049,068 2,024,534 1,012,267 3,036,802 1,518,401 4,555,204 2,277,602 1,138,801 3,416,404 1,708,202 854,101 2,562,304 1,281,152 640,576 320,288 160,144 80,072 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150

More profiles

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