λ
Harmonic Matrix

8,673,221

8673221
Deficient Odd Prime

8,673,221 has digital root 2. The neighboring primes are 8673209 and 8673271; its proper-divisor sum differs from the starting integer by -8,673,220.

Prime Factor Structure

Factorization String 8673221
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,673,222
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8673209 ← → #8673271

Radix Representation

Decimal 8673221
Binary 100001000101011111000101 (24 bits)
Octal 0o41053705
Hexadecimal 0x8457C5

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

8,673,221 26,019,664 13,009,832 6,504,916 3,252,458 1,626,229 4,878,688 2,439,344 1,219,672 609,836 304,918 152,459 457,378 228,689 686,068 343,034 171,517 514,552 257,276 128,638 64,319 192,958 96,479 289,438 144,719 434,158 217,079 651,238 325,619 976,858 488,429 1,465,288 732,644 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815 695,446 347,723 1,043,170 521,585 1,564,756 782,378 391,189 1,173,568 586,784 293,392 146,696 73,348 36,674 18,337 55,012

More profiles

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