λ
Harmonic Matrix

9,356,420

22 × 5 × 31 × 15091
Abundant Even Composite

9,356,420 has digital root 2. The neighboring primes are 9356419 and 9356429; its proper-divisor sum differs from the starting integer by 1,570,808.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 15091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,283,648
Proper Divisor Sum 10,927,228
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9356419 ← → #9356429

Radix Representation

Decimal 9356420
Binary 100011101100010010000100 (24 bits)
Octal 0o43542204
Hexadecimal 0x8EC484

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 15,091 30,182 60,364 75,455 150,910 301,820 467,821 935,642 1,871,284 2,339,105 4,678,210 9,356,420

Collatz Trajectory (181 steps to reach 1)

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

9,356,420 4,678,210 2,339,105 7,017,316 3,508,658 1,754,329 5,262,988 2,631,494 1,315,747 3,947,242 1,973,621 5,920,864 2,960,432 1,480,216 740,108 370,054 185,027 555,082 277,541 832,624 416,312 208,156 104,078 52,039 156,118 78,059 234,178 117,089 351,268 175,634 87,817 263,452 131,726 65,863 197,590 98,795 296,386 148,193 444,580 222,290 111,145 333,436 166,718 83,359 250,078 125,039 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071

More profiles

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