λ
Harmonic Matrix

5,762,098

2 × 23 × 229 × 547
Deficient Even Composite

5,762,098 has digital root 1. The neighboring primes are 5762089 and 5762123; its proper-divisor sum differs from the starting integer by -2,449,316.

Prime Factor Structure

Factorization String 2 × 23 × 229 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,074,880
Proper Divisor Sum 3,312,782
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5762089 ← → #5762123

Radix Representation

Decimal 5762098
Binary 10101111110110000110010 (23 bits)
Octal 0o25766062
Hexadecimal 0x57EC32

Divisor Catalog (16)

1 2 23 46 229 458 547 1,094 5,267 10,534 12,581 25,162 125,263 250,526 2,881,049 5,762,098

Collatz Trajectory (232 steps to reach 1)

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

5,762,098 2,881,049 8,643,148 4,321,574 2,160,787 6,482,362 3,241,181 9,723,544 4,861,772 2,430,886 1,215,443 3,646,330 1,823,165 5,469,496 2,734,748 1,367,374 683,687 2,051,062 1,025,531 3,076,594 1,538,297 4,614,892 2,307,446 1,153,723 3,461,170 1,730,585 5,191,756 2,595,878 1,297,939 3,893,818 1,946,909 5,840,728 2,920,364 1,460,182 730,091 2,190,274 1,095,137 3,285,412 1,642,706 821,353 2,464,060 1,232,030 616,015 1,848,046 924,023 2,772,070 1,386,035 4,158,106 2,079,053 6,237,160 3,118,580 1,559,290 779,645 2,338,936 1,169,468 584,734 292,367 877,102 438,551 1,315,654

More profiles

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