λ
Sequence Observatory

1,676,610

2 × 32 × 5 × 13 × 1433
Abundant Even Composite

Starting at 1,676,610, the Collatz iteration reaches 1 after 114 steps. The first transition is 838305; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,697,784
Proper Divisor Sum 3,021,174
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1676599 ← → #1676611

Radix Representation

Decimal 1676610
Binary 110011001010101000010 (21 bits)
Octal 0o6312502
Hexadecimal 0x199542

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1,170 1,433 2,866 4,299 7,165 8,598 12,897 14,330 18,629 21,495 25,794 37,258 42,990 55,887 64,485 93,145 111,774 128,970 167,661 186,290 279,435 335,322 558,870 838,305 1,676,610

Collatz Trajectory (114 steps to reach 1)

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

1,676,610 838,305 2,514,916 1,257,458 628,729 1,886,188 943,094 471,547 1,414,642 707,321 2,121,964 1,060,982 530,491 1,591,474 795,737 2,387,212 1,193,606 596,803 1,790,410 895,205 2,685,616 1,342,808 671,404 335,702 167,851 503,554 251,777 755,332 377,666 188,833 566,500 283,250 141,625 424,876 212,438 106,219 318,658 159,329 477,988 238,994 119,497 358,492 179,246 89,623 268,870 134,435 403,306 201,653 604,960 302,480 151,240 75,620 37,810 18,905 56,716 28,358 14,179 42,538 21,269 63,808

More profiles

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