λ
Harmonic Matrix

9,802,438

2 × 17 × 288307
Deficient Even Composite

9,802,438 has digital root 7. The neighboring primes are 9802433 and 9802459; its proper-divisor sum differs from the starting integer by -4,036,244.

Prime Factor Structure

Factorization String 2 × 17 × 288307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,568,632
Proper Divisor Sum 5,766,194
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9802433 ← → #9802459

Radix Representation

Decimal 9802438
Binary 100101011001001011000110 (24 bits)
Octal 0o45311306
Hexadecimal 0x9592C6

Divisor Catalog (8)

1 2 17 34 288,307 576,614 4,901,219 9,802,438

Collatz Trajectory (269 steps to reach 1)

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

9,802,438 4,901,219 14,703,658 7,351,829 22,055,488 11,027,744 5,513,872 2,756,936 1,378,468 689,234 344,617 1,033,852 516,926 258,463 775,390 387,695 1,163,086 581,543 1,744,630 872,315 2,616,946 1,308,473 3,925,420 1,962,710 981,355 2,944,066 1,472,033 4,416,100 2,208,050 1,104,025 3,312,076 1,656,038 828,019 2,484,058 1,242,029 3,726,088 1,863,044 931,522 465,761 1,397,284 698,642 349,321 1,047,964 523,982 261,991 785,974 392,987 1,178,962 589,481 1,768,444 884,222 442,111 1,326,334 663,167 1,989,502 994,751 2,984,254 1,492,127 4,476,382 2,238,191

More profiles

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