λ
Integer Codex

7,426,978

2 × 13 × 331 × 863
Deficient Even Composite

For 7,426,978, the 16 positive divisors have a total of 12,047,616. Removing 7,426,978 leaves 4,620,638, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 331 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,047,616
Proper Divisor Sum 4,620,638
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7426963 ← → #7426981

Radix Representation

Decimal 7426978
Binary 11100010101001110100010 (23 bits)
Octal 0o34251642
Hexadecimal 0x7153A2

Divisor Catalog (16)

1 2 13 26 331 662 863 1,726 4,303 8,606 11,219 22,438 285,653 571,306 3,713,489 7,426,978

Collatz Trajectory (186 steps to reach 1)

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

7,426,978 3,713,489 11,140,468 5,570,234 2,785,117 8,355,352 4,177,676 2,088,838 1,044,419 3,133,258 1,566,629 4,699,888 2,349,944 1,174,972 587,486 293,743 881,230 440,615 1,321,846 660,923 1,982,770 991,385 2,974,156 1,487,078 743,539 2,230,618 1,115,309 3,345,928 1,672,964 836,482 418,241 1,254,724 627,362 313,681 941,044 470,522 235,261 705,784 352,892 176,446 88,223 264,670 132,335 397,006 198,503 595,510 297,755 893,266 446,633 1,339,900 669,950 334,975 1,004,926 502,463 1,507,390 753,695 2,261,086 1,130,543 3,391,630 1,695,815

More profiles

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