λ
Harmonic Matrix

7,420,726

2 × 941 × 3943
Deficient Even Composite

7,420,726 has digital root 1. The neighboring primes are 7420709 and 7420727; its proper-divisor sum differs from the starting integer by -3,695,708.

Prime Factor Structure

Factorization String 2 × 941 × 3943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,145,744
Proper Divisor Sum 3,725,018
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7420709 ← → #7420727

Radix Representation

Decimal 7420726
Binary 11100010011101100110110 (23 bits)
Octal 0o34235466
Hexadecimal 0x713B36

Divisor Catalog (8)

1 2 941 1,882 3,943 7,886 3,710,363 7,420,726

Collatz Trajectory (217 steps to reach 1)

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

7,420,726 3,710,363 11,131,090 5,565,545 16,696,636 8,348,318 4,174,159 12,522,478 6,261,239 18,783,718 9,391,859 28,175,578 14,087,789 42,263,368 21,131,684 10,565,842 5,282,921 15,848,764 7,924,382 3,962,191 11,886,574 5,943,287 17,829,862 8,914,931 26,744,794 13,372,397 40,117,192 20,058,596 10,029,298 5,014,649 15,043,948 7,521,974 3,760,987 11,282,962 5,641,481 16,924,444 8,462,222 4,231,111 12,693,334 6,346,667 19,040,002 9,520,001 28,560,004 14,280,002 7,140,001 21,420,004 10,710,002 5,355,001 16,065,004 8,032,502 4,016,251 12,048,754 6,024,377 18,073,132 9,036,566 4,518,283 13,554,850 6,777,425 20,332,276 10,166,138

More profiles

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