λ
Harmonic Matrix

1,142,163

32 × 11 × 83 × 139
Deficient Odd Composite

1,142,163 has digital root 9. The neighboring primes are 1142161 and 1142171; its proper-divisor sum differs from the starting integer by -449,766.

Prime Factor Structure

Factorization String 3^2 × 11 × 83 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,834,560
Proper Divisor Sum 692,397
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1142161 ← → #1142171

Radix Representation

Decimal 1142163
Binary 100010110110110010011 (21 bits)
Octal 0o4266623
Hexadecimal 0x116D93

Divisor Catalog (24)

1 3 9 11 33 83 99 139 249 417 747 913 1,251 1,529 2,739 4,587 8,217 11,537 13,761 34,611 103,833 126,907 380,721 1,142,163

Collatz Trajectory (297 steps to reach 1)

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

1,142,163 3,426,490 1,713,245 5,139,736 2,569,868 1,284,934 642,467 1,927,402 963,701 2,891,104 1,445,552 722,776 361,388 180,694 90,347 271,042 135,521 406,564 203,282 101,641 304,924 152,462 76,231 228,694 114,347 343,042 171,521 514,564 257,282 128,641 385,924 192,962 96,481 289,444 144,722 72,361 217,084 108,542 54,271 162,814 81,407 244,222 122,111 366,334 183,167 549,502 274,751 824,254 412,127 1,236,382 618,191 1,854,574 927,287 2,781,862 1,390,931 4,172,794 2,086,397 6,259,192 3,129,596 1,564,798

More profiles

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