λ
Prime Ledger

1,070,946

2 × 32 × 59497
Abundant Even Composite

1,070,946 has the prime decomposition 2 × 3^2 × 59497. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 59497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,320,422
Proper Divisor Sum 1,249,476
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1070939 ← → #1070947

Radix Representation

Decimal 1070946
Binary 100000101011101100010 (21 bits)
Octal 0o4053542
Hexadecimal 0x105762

Divisor Catalog (12)

1 2 3 6 9 18 59,497 118,994 178,491 356,982 535,473 1,070,946

Collatz Trajectory (134 steps to reach 1)

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

1,070,946 535,473 1,606,420 803,210 401,605 1,204,816 602,408 301,204 150,602 75,301 225,904 112,952 56,476 28,238 14,119 42,358 21,179 63,538 31,769 95,308 47,654 23,827 71,482 35,741 107,224 53,612 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772 85,886 42,943 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403 652,210 326,105 978,316 489,158 244,579

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