λ
Harmonic Matrix

1,975,961

13 × 17 × 8941
Deficient Odd Composite

1,975,961 has digital root 2. The neighboring primes are 1975957 and 1975991; its proper-divisor sum differs from the starting integer by -1,698,538.

Prime Factor Structure

Factorization String 13 × 17 × 8941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,253,384
Proper Divisor Sum 277,423
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1975957 ← → #1975991

Radix Representation

Decimal 1975961
Binary 111100010011010011001 (21 bits)
Octal 0o7423231
Hexadecimal 0x1E2699

Divisor Catalog (8)

1 13 17 221 8,941 116,233 151,997 1,975,961

Collatz Trajectory (365 steps to reach 1)

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

1,975,961 5,927,884 2,963,942 1,481,971 4,445,914 2,222,957 6,668,872 3,334,436 1,667,218 833,609 2,500,828 1,250,414 625,207 1,875,622 937,811 2,813,434 1,406,717 4,220,152 2,110,076 1,055,038 527,519 1,582,558 791,279 2,373,838 1,186,919 3,560,758 1,780,379 5,341,138 2,670,569 8,011,708 4,005,854 2,002,927 6,008,782 3,004,391 9,013,174 4,506,587 13,519,762 6,759,881 20,279,644 10,139,822 5,069,911 15,209,734 7,604,867 22,814,602 11,407,301 34,221,904 17,110,952 8,555,476 4,277,738 2,138,869 6,416,608 3,208,304 1,604,152 802,076 401,038 200,519 601,558 300,779 902,338 451,169

More profiles

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