λ
Sigma Notebook

1,972,681

67 × 29443
Deficient Odd Composite

1,972,681 is odd and not a perfect square. Its factorization is 67 × 29443 and its 4 divisors sum to 2,002,192.

Prime Factor Structure

Factorization String 67 × 29443
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,002,192
Proper Divisor Sum 29,511
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1972669 ← → #1972717

Radix Representation

Decimal 1972681
Binary 111100001100111001001 (21 bits)
Octal 0o7414711
Hexadecimal 0x1E19C9

Divisor Catalog (4)

1 67 29,443 1,972,681

Collatz Trajectory (184 steps to reach 1)

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

1,972,681 5,918,044 2,959,022 1,479,511 4,438,534 2,219,267 6,657,802 3,328,901 9,986,704 4,993,352 2,496,676 1,248,338 624,169 1,872,508 936,254 468,127 1,404,382 702,191 2,106,574 1,053,287 3,159,862 1,579,931 4,739,794 2,369,897 7,109,692 3,554,846 1,777,423 5,332,270 2,666,135 7,998,406 3,999,203 11,997,610 5,998,805 17,996,416 8,998,208 4,499,104 2,249,552 1,124,776 562,388 281,194 140,597 421,792 210,896 105,448 52,724 26,362 13,181 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514

More profiles

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