λ
Harmonic Matrix

9,757,426

2 × 7 × 41 × 89 × 191
Deficient Even Composite

9,757,426 has digital root 4. The neighboring primes are 9757403 and 9757441; its proper-divisor sum differs from the starting integer by -2,096,612.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 89 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,418,240
Proper Divisor Sum 7,660,814
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9757403 ← → #9757441

Radix Representation

Decimal 9757426
Binary 100101001110001011110010 (24 bits)
Octal 0o45161362
Hexadecimal 0x94E2F2

Divisor Catalog (32)

1 2 7 14 41 82 89 178 191 287 382 574 623 1,246 1,337 2,674 3,649 7,298 7,831 15,662 16,999 25,543 33,998 51,086 54,817 109,634 118,993 237,986 696,959 1,393,918 4,878,713 9,757,426

Collatz Trajectory (150 steps to reach 1)

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

9,757,426 4,878,713 14,636,140 7,318,070 3,659,035 10,977,106 5,488,553 16,465,660 8,232,830 4,116,415 12,349,246 6,174,623 18,523,870 9,261,935 27,785,806 13,892,903 41,678,710 20,839,355 62,518,066 31,259,033 93,777,100 46,888,550 23,444,275 70,332,826 35,166,413 105,499,240 52,749,620 26,374,810 13,187,405 39,562,216 19,781,108 9,890,554 4,945,277 14,835,832 7,417,916 3,708,958 1,854,479 5,563,438 2,781,719 8,345,158 4,172,579 12,517,738 6,258,869 18,776,608 9,388,304 4,694,152 2,347,076 1,173,538 586,769 1,760,308 880,154 440,077 1,320,232 660,116 330,058 165,029 495,088 247,544 123,772 61,886

More profiles

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