λ
Harmonic Matrix

7,240,582

2 × 3620291
Deficient Even Composite

7,240,582 has digital root 1. The neighboring primes are 7240579 and 7240603; its proper-divisor sum differs from the starting integer by -3,620,288.

Prime Factor Structure

Factorization String 2 × 3620291
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,860,876
Proper Divisor Sum 3,620,294
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7240579 ← → #7240603

Radix Representation

Decimal 7240582
Binary 11011100111101110000110 (23 bits)
Octal 0o33475606
Hexadecimal 0x6E7B86

Divisor Catalog (4)

1 2 3,620,291 7,240,582

Collatz Trajectory (67 steps to reach 1)

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

7,240,582 3,620,291 10,860,874 5,430,437 16,291,312 8,145,656 4,072,828 2,036,414 1,018,207 3,054,622 1,527,311 4,581,934 2,290,967 6,872,902 3,436,451 10,309,354 5,154,677 15,464,032 7,732,016 3,866,008 1,933,004 966,502 483,251 1,449,754 724,877 2,174,632 1,087,316 543,658 271,829 815,488 407,744 203,872 101,936 50,968 25,484 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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