λ
Harmonic Matrix

970,310

2 × 5 × 11 × 8821
Deficient Even Composite

970,310 has digital root 2. The neighboring primes are 970303 and 970313; its proper-divisor sum differs from the starting integer by -35,068.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 8821
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,905,552
Proper Divisor Sum 935,242
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #970303 ← → #970313

Radix Representation

Decimal 970310
Binary 11101100111001000110 (20 bits)
Octal 0o3547106
Hexadecimal 0xECE46

Divisor Catalog (16)

1 2 5 10 11 22 55 110 8,821 17,642 44,105 88,210 97,031 194,062 485,155 970,310

Collatz Trajectory (214 steps to reach 1)

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

970,310 485,155 1,455,466 727,733 2,183,200 1,091,600 545,800 272,900 136,450 68,225 204,676 102,338 51,169 153,508 76,754 38,377 115,132 57,566 28,783 86,350 43,175 129,526 64,763 194,290 97,145 291,436 145,718 72,859 218,578 109,289 327,868 163,934 81,967 245,902 122,951 368,854 184,427 553,282 276,641 829,924 414,962 207,481 622,444 311,222 155,611 466,834 233,417 700,252 350,126 175,063 525,190 262,595 787,786 393,893 1,181,680 590,840 295,420 147,710 73,855 221,566

More profiles

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