λ
Integer Codex

1,428,513

3 × 83 × 5737
Deficient Odd Composite

For 1,428,513, the 8 positive divisors have a total of 1,927,968. Removing 1,428,513 leaves 499,455, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 83 × 5737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,927,968
Proper Divisor Sum 499,455
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1428491 ← → #1428521

Radix Representation

Decimal 1428513
Binary 101011100110000100001 (21 bits)
Octal 0o5346041
Hexadecimal 0x15CC21

Divisor Catalog (8)

1 3 83 249 5,737 17,211 476,171 1,428,513

Collatz Trajectory (124 steps to reach 1)

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

1,428,513 4,285,540 2,142,770 1,071,385 3,214,156 1,607,078 803,539 2,410,618 1,205,309 3,615,928 1,807,964 903,982 451,991 1,355,974 677,987 2,033,962 1,016,981 3,050,944 1,525,472 762,736 381,368 190,684 95,342 47,671 143,014 71,507 214,522 107,261 321,784 160,892 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062

More profiles

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