λ
Sequence Observatory

5,761,688

23 × 720211
Deficient Even Composite

Starting at 5,761,688, the Collatz iteration reaches 1 after 232 steps. The first transition is 2880844; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 720211
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,803,180
Proper Divisor Sum 5,041,492
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5761687 ← → #5761729

Radix Representation

Decimal 5761688
Binary 10101111110101010011000 (23 bits)
Octal 0o25765230
Hexadecimal 0x57EA98

Divisor Catalog (8)

1 2 4 8 720,211 1,440,422 2,880,844 5,761,688

Collatz Trajectory (232 steps to reach 1)

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

5,761,688 2,880,844 1,440,422 720,211 2,160,634 1,080,317 3,240,952 1,620,476 810,238 405,119 1,215,358 607,679 1,823,038 911,519 2,734,558 1,367,279 4,101,838 2,050,919 6,152,758 3,076,379 9,229,138 4,614,569 13,843,708 6,921,854 3,460,927 10,382,782 5,191,391 15,574,174 7,787,087 23,361,262 11,680,631 35,041,894 17,520,947 52,562,842 26,281,421 78,844,264 39,422,132 19,711,066 9,855,533 29,566,600 14,783,300 7,391,650 3,695,825 11,087,476 5,543,738 2,771,869 8,315,608 4,157,804 2,078,902 1,039,451 3,118,354 1,559,177 4,677,532 2,338,766 1,169,383 3,508,150 1,754,075 5,262,226 2,631,113 7,893,340

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