λ
Harmonic Matrix

1,192,962

2 × 3 × 198827
Abundant Even Composite

1,192,962 has digital root 3. The neighboring primes are 1192951 and 1192967; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 198827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,385,936
Proper Divisor Sum 1,192,974
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1192951 ← → #1192967

Radix Representation

Decimal 1192962
Binary 100100011010000000010 (21 bits)
Octal 0o4432002
Hexadecimal 0x123402

Divisor Catalog (8)

1 2 3 6 198,827 397,654 596,481 1,192,962

Collatz Trajectory (98 steps to reach 1)

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

1,192,962 596,481 1,789,444 894,722 447,361 1,342,084 671,042 335,521 1,006,564 503,282 251,641 754,924 377,462 188,731 566,194 283,097 849,292 424,646 212,323 636,970 318,485 955,456 477,728 238,864 119,432 59,716 29,858 14,929 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262

More profiles

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