λ
Harmonic Matrix

9,522,762

2 × 3 × 19 × 103 × 811
Abundant Even Composite

9,522,762 has digital root 6. The neighboring primes are 9522761 and 9522763; its proper-divisor sum differs from the starting integer by 1,221,996.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 103 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,267,520
Proper Divisor Sum 10,744,758
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9522761 ← → #9522763

Radix Representation

Decimal 9522762
Binary 100100010100111001001010 (24 bits)
Octal 0o44247112
Hexadecimal 0x914E4A

Divisor Catalog (32)

1 2 3 6 19 38 57 103 114 206 309 618 811 1,622 1,957 2,433 3,914 4,866 5,871 11,742 15,409 30,818 46,227 83,533 92,454 167,066 250,599 501,198 1,587,127 3,174,254 4,761,381 9,522,762

Collatz Trajectory (194 steps to reach 1)

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

9,522,762 4,761,381 14,284,144 7,142,072 3,571,036 1,785,518 892,759 2,678,278 1,339,139 4,017,418 2,008,709 6,026,128 3,013,064 1,506,532 753,266 376,633 1,129,900 564,950 282,475 847,426 423,713 1,271,140 635,570 317,785 953,356 476,678 238,339 715,018 357,509 1,072,528 536,264 268,132 134,066 67,033 201,100 100,550 50,275 150,826 75,413 226,240 113,120 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070

More profiles

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