λ
Ratio Atlas

8,292,767

7 × 61 × 19421
Deficient Odd Composite

8,292,767 factors as 7 × 61 × 19421. Its 8 positive divisors give a proper-divisor sum of 1,340,545, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 7 × 61 × 19421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,633,312
Proper Divisor Sum 1,340,545
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8292763 ← → #8292803

Radix Representation

Decimal 8292767
Binary 11111101000100110011111 (23 bits)
Octal 0o37504637
Hexadecimal 0x7E899F

Divisor Catalog (8)

1 7 61 427 19,421 135,947 1,184,681 8,292,767

Collatz Trajectory (261 steps to reach 1)

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

8,292,767 24,878,302 12,439,151 37,317,454 18,658,727 55,976,182 27,988,091 83,964,274 41,982,137 125,946,412 62,973,206 31,486,603 94,459,810 47,229,905 141,689,716 70,844,858 35,422,429 106,267,288 53,133,644 26,566,822 13,283,411 39,850,234 19,925,117 59,775,352 29,887,676 14,943,838 7,471,919 22,415,758 11,207,879 33,623,638 16,811,819 50,435,458 25,217,729 75,653,188 37,826,594 18,913,297 56,739,892 28,369,946 14,184,973 42,554,920 21,277,460 10,638,730 5,319,365 15,958,096 7,979,048 3,989,524 1,994,762 997,381 2,992,144 1,496,072 748,036 374,018 187,009 561,028 280,514 140,257 420,772 210,386 105,193 315,580

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