λ
Prime Ledger

2,964,184

23 × 53 × 6991
Deficient Even Composite

2,964,184 has the prime decomposition 2^3 × 53 × 6991. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 53 × 6991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,663,520
Proper Divisor Sum 2,699,336
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2964163 ← → #2964191

Radix Representation

Decimal 2964184
Binary 1011010011101011011000 (22 bits)
Octal 0o13235330
Hexadecimal 0x2D3AD8

Divisor Catalog (16)

1 2 4 8 53 106 212 424 6,991 13,982 27,964 55,928 370,523 741,046 1,482,092 2,964,184

Collatz Trajectory (182 steps to reach 1)

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

2,964,184 1,482,092 741,046 370,523 1,111,570 555,785 1,667,356 833,678 416,839 1,250,518 625,259 1,875,778 937,889 2,813,668 1,406,834 703,417 2,110,252 1,055,126 527,563 1,582,690 791,345 2,374,036 1,187,018 593,509 1,780,528 890,264 445,132 222,566 111,283 333,850 166,925 500,776 250,388 125,194 62,597 187,792 93,896 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523

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