λ
Prime Ledger

1,058,002

2 × 11 × 48091
Deficient Even Composite

1,058,002 has the prime decomposition 2 × 11 × 48091. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 48091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,731,312
Proper Divisor Sum 673,310
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1057993 ← → #1058009

Radix Representation

Decimal 1058002
Binary 100000010010011010010 (21 bits)
Octal 0o4022322
Hexadecimal 0x1024D2

Divisor Catalog (8)

1 2 11 22 48,091 96,182 529,001 1,058,002

Collatz Trajectory (103 steps to reach 1)

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

1,058,002 529,001 1,587,004 793,502 396,751 1,190,254 595,127 1,785,382 892,691 2,678,074 1,339,037 4,017,112 2,008,556 1,004,278 502,139 1,506,418 753,209 2,259,628 1,129,814 564,907 1,694,722 847,361 2,542,084 1,271,042 635,521 1,906,564 953,282 476,641 1,429,924 714,962 357,481 1,072,444 536,222 268,111 804,334 402,167 1,206,502 603,251 1,809,754 904,877 2,714,632 1,357,316 678,658 339,329 1,017,988 508,994 254,497 763,492 381,746 190,873 572,620 286,310 143,155 429,466 214,733 644,200 322,100 161,050 80,525 241,576

More profiles

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