λ
Harmonic Matrix

3,032,477

7 × 172 × 1499
Deficient Odd Composite

3,032,477 has digital root 8. The neighboring primes are 3032467 and 3032531; its proper-divisor sum differs from the starting integer by -2,380,954.

Prime Factor Structure

Factorization String 7 × 17^2 × 1499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,684,000
Proper Divisor Sum 651,523
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3032467 ← → #3032531

Radix Representation

Decimal 3032477
Binary 1011100100010110011101 (22 bits)
Octal 0o13442635
Hexadecimal 0x2E459D

Divisor Catalog (12)

1 7 17 119 289 1,499 2,023 10,493 25,483 178,381 433,211 3,032,477

Collatz Trajectory (120 steps to reach 1)

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

3,032,477 9,097,432 4,548,716 2,274,358 1,137,179 3,411,538 1,705,769 5,117,308 2,558,654 1,279,327 3,837,982 1,918,991 5,756,974 2,878,487 8,635,462 4,317,731 12,953,194 6,476,597 19,429,792 9,714,896 4,857,448 2,428,724 1,214,362 607,181 1,821,544 910,772 455,386 227,693 683,080 341,540 170,770 85,385 256,156 128,078 64,039 192,118 96,059 288,178 144,089 432,268 216,134 108,067 324,202 162,101 486,304 243,152 121,576 60,788 30,394 15,197 45,592 22,796 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206

More profiles

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