λ
Harmonic Matrix

8,471,321

17 × 19 × 26227
Deficient Odd Composite

8,471,321 has digital root 8. The neighboring primes are 8471317 and 8471347; its proper-divisor sum differs from the starting integer by -7,500,562.

Prime Factor Structure

Factorization String 17 × 19 × 26227
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,442,080
Proper Divisor Sum 970,759
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8471317 ← → #8471347

Radix Representation

Decimal 8471321
Binary 100000010100001100011001 (24 bits)
Octal 0o40241431
Hexadecimal 0x814319

Divisor Catalog (8)

1 17 19 323 26,227 445,859 498,313 8,471,321

Collatz Trajectory (274 steps to reach 1)

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

8,471,321 25,413,964 12,706,982 6,353,491 19,060,474 9,530,237 28,590,712 14,295,356 7,147,678 3,573,839 10,721,518 5,360,759 16,082,278 8,041,139 24,123,418 12,061,709 36,185,128 18,092,564 9,046,282 4,523,141 13,569,424 6,784,712 3,392,356 1,696,178 848,089 2,544,268 1,272,134 636,067 1,908,202 954,101 2,862,304 1,431,152 715,576 357,788 178,894 89,447 268,342 134,171 402,514 201,257 603,772 301,886 150,943 452,830 226,415 679,246 339,623 1,018,870 509,435 1,528,306 764,153 2,292,460 1,146,230 573,115 1,719,346 859,673 2,579,020 1,289,510 644,755 1,934,266

More profiles

← Previous Integer #8,471,320 Browse Full Index Next Integer #8,471,322 →