λ
Harmonic Matrix

9,398,301

3 × 11 × 31 × 9187
Deficient Odd Composite

9,398,301 has digital root 6. The neighboring primes are 9398299 and 9398303; its proper-divisor sum differs from the starting integer by -4,683,834.

Prime Factor Structure

Factorization String 3 × 11 × 31 × 9187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,112,768
Proper Divisor Sum 4,714,467
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9398299 ← → #9398303

Radix Representation

Decimal 9398301
Binary 100011110110100000011101 (24 bits)
Octal 0o43664035
Hexadecimal 0x8F681D

Divisor Catalog (16)

1 3 11 31 33 93 341 1,023 9,187 27,561 101,057 284,797 303,171 854,391 3,132,767 9,398,301

Collatz Trajectory (176 steps to reach 1)

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

9,398,301 28,194,904 14,097,452 7,048,726 3,524,363 10,573,090 5,286,545 15,859,636 7,929,818 3,964,909 11,894,728 5,947,364 2,973,682 1,486,841 4,460,524 2,230,262 1,115,131 3,345,394 1,672,697 5,018,092 2,509,046 1,254,523 3,763,570 1,881,785 5,645,356 2,822,678 1,411,339 4,234,018 2,117,009 6,351,028 3,175,514 1,587,757 4,763,272 2,381,636 1,190,818 595,409 1,786,228 893,114 446,557 1,339,672 669,836 334,918 167,459 502,378 251,189 753,568 376,784 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614

More profiles

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