λ
Harmonic Matrix

7,024,492

22 × 173 × 10151
Deficient Even Composite

7,024,492 has digital root 1. The neighboring primes are 7024477 and 7024513; its proper-divisor sum differs from the starting integer by -1,683,848.

Prime Factor Structure

Factorization String 2^2 × 173 × 10151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,365,136
Proper Divisor Sum 5,340,644
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7024477 ← → #7024513

Radix Representation

Decimal 7024492
Binary 11010110010111101101100 (23 bits)
Octal 0o32627554
Hexadecimal 0x6B2F6C

Divisor Catalog (12)

1 2 4 173 346 692 10,151 20,302 40,604 1,756,123 3,512,246 7,024,492

Collatz Trajectory (129 steps to reach 1)

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

7,024,492 3,512,246 1,756,123 5,268,370 2,634,185 7,902,556 3,951,278 1,975,639 5,926,918 2,963,459 8,890,378 4,445,189 13,335,568 6,667,784 3,333,892 1,666,946 833,473 2,500,420 1,250,210 625,105 1,875,316 937,658 468,829 1,406,488 703,244 351,622 175,811 527,434 263,717 791,152 395,576 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426

More profiles

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