λ
Harmonic Matrix

7,203,142

2 × 3601571
Deficient Even Composite

7,203,142 has digital root 1. The neighboring primes are 7203101 and 7203149; its proper-divisor sum differs from the starting integer by -3,601,568.

Prime Factor Structure

Factorization String 2 × 3601571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,804,716
Proper Divisor Sum 3,601,574
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7203101 ← → #7203149

Radix Representation

Decimal 7203142
Binary 11011011110100101000110 (23 bits)
Octal 0o33364506
Hexadecimal 0x6DE946

Divisor Catalog (4)

1 2 3,601,571 7,203,142

Collatz Trajectory (204 steps to reach 1)

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

7,203,142 3,601,571 10,804,714 5,402,357 16,207,072 8,103,536 4,051,768 2,025,884 1,012,942 506,471 1,519,414 759,707 2,279,122 1,139,561 3,418,684 1,709,342 854,671 2,564,014 1,282,007 3,846,022 1,923,011 5,769,034 2,884,517 8,653,552 4,326,776 2,163,388 1,081,694 540,847 1,622,542 811,271 2,433,814 1,216,907 3,650,722 1,825,361 5,476,084 2,738,042 1,369,021 4,107,064 2,053,532 1,026,766 513,383 1,540,150 770,075 2,310,226 1,155,113 3,465,340 1,732,670 866,335 2,599,006 1,299,503 3,898,510 1,949,255 5,847,766 2,923,883 8,771,650 4,385,825 13,157,476 6,578,738 3,289,369 9,868,108

More profiles

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