λ
Sequence Observatory

1,763,808

25 × 3 × 19 × 967
Abundant Even Composite

Starting at 1,763,808, the Collatz iteration reaches 1 after 145 steps. The first transition is 881904; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 19 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,878,720
Proper Divisor Sum 3,114,912
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1763803 ← → #1763813

Radix Representation

Decimal 1763808
Binary 110101110100111100000 (21 bits)
Octal 0o6564740
Hexadecimal 0x1AE9E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 967 1,824 1,934 2,901 3,868 5,802 7,736 11,604 15,472 18,373 23,208 30,944 36,746 46,416 55,119 73,492 92,832 110,238 146,984 220,476 293,968 440,952 587,936 881,904 1,763,808

Collatz Trajectory (145 steps to reach 1)

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

1,763,808 881,904 440,952 220,476 110,238 55,119 165,358 82,679 248,038 124,019 372,058 186,029 558,088 279,044 139,522 69,761 209,284 104,642 52,321 156,964 78,482 39,241 117,724 58,862 29,431 88,294 44,147 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311

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