λ
Harmonic Matrix

3,215,034

2 × 32 × 178613
Abundant Even Composite

3,215,034 has digital root 9. The neighboring primes are 3215021 and 3215039; its proper-divisor sum differs from the starting integer by 535,878.

Prime Factor Structure

Factorization String 2 × 3^2 × 178613
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,965,946
Proper Divisor Sum 3,750,912
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3215021 ← → #3215039

Radix Representation

Decimal 3215034
Binary 1100010000111010111010 (22 bits)
Octal 0o14207272
Hexadecimal 0x310EBA

Divisor Catalog (12)

1 2 3 6 9 18 178,613 357,226 535,839 1,071,678 1,607,517 3,215,034

Collatz Trajectory (239 steps to reach 1)

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

3,215,034 1,607,517 4,822,552 2,411,276 1,205,638 602,819 1,808,458 904,229 2,712,688 1,356,344 678,172 339,086 169,543 508,630 254,315 762,946 381,473 1,144,420 572,210 286,105 858,316 429,158 214,579 643,738 321,869 965,608 482,804 241,402 120,701 362,104 181,052 90,526 45,263 135,790 67,895 203,686 101,843 305,530 152,765 458,296 229,148 114,574 57,287 171,862 85,931 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354

More profiles

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