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Atlas › Integer Profiles › Node 2,148,982

2,148,982

2 × 11 × 23 × 31 × 137
Deficient Even Composite

2,148,982 factors as 2 × 11 × 23 × 31 × 137. Its 32 positive divisors give a proper-divisor sum of 1,666,442, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 31 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,815,424
Proper Divisor Sum 1,666,442
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2148947 ← → #2148983

Radix Representation

Decimal 2148982
Binary 1000001100101001110110 (22 bits)
Octal 0o10145166
Hexadecimal 0x20CA76

Divisor Catalog (32)

1 2 11 22 23 31 46 62 137 253 274 341 506 682 713 1,426 1,507 3,014 3,151 4,247 6,302 7,843 8,494 15,686 34,661 46,717 69,322 93,434 97,681 195,362 1,074,491 2,148,982

Collatz Trajectory (241 steps to reach 1)

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

2,148,982 1,074,491 3,223,474 1,611,737 4,835,212 2,417,606 1,208,803 3,626,410 1,813,205 5,439,616 2,719,808 1,359,904 679,952 339,976 169,988 84,994 42,497 127,492 63,746 31,873 95,620 47,810 23,905 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809

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