λ
Harmonic Matrix

3,671,992

23 × 109 × 4211
Deficient Even Composite

3,671,992 has digital root 1. The neighboring primes are 3671989 and 3672007; its proper-divisor sum differs from the starting integer by -394,184.

Prime Factor Structure

Factorization String 2^3 × 109 × 4211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,949,800
Proper Divisor Sum 3,277,808
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3671989 ← → #3672007

Radix Representation

Decimal 3671992
Binary 1110000000011110111000 (22 bits)
Octal 0o16003670
Hexadecimal 0x3807B8

Divisor Catalog (16)

1 2 4 8 109 218 436 872 4,211 8,422 16,844 33,688 458,999 917,998 1,835,996 3,671,992

Collatz Trajectory (172 steps to reach 1)

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

3,671,992 1,835,996 917,998 458,999 1,376,998 688,499 2,065,498 1,032,749 3,098,248 1,549,124 774,562 387,281 1,161,844 580,922 290,461 871,384 435,692 217,846 108,923 326,770 163,385 490,156 245,078 122,539 367,618 183,809 551,428 275,714 137,857 413,572 206,786 103,393 310,180 155,090 77,545 232,636 116,318 58,159 174,478 87,239 261,718 130,859 392,578 196,289 588,868 294,434 147,217 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291

More profiles

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