λ
Integer Codex

1,428,769

1428769
Deficient Odd Prime

For 1,428,769, the 2 positive divisors have a total of 1,428,770. Removing 1,428,769 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1428769
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,428,770
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1428767 ← → #1428787

Radix Representation

Decimal 1428769
Binary 101011100110100100001 (21 bits)
Octal 0o5346441
Hexadecimal 0x15CD21

Divisor Catalog (2)

Collatz Trajectory (75 steps to reach 1)

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

1,428,769 4,286,308 2,143,154 1,071,577 3,214,732 1,607,366 803,683 2,411,050 1,205,525 3,616,576 1,808,288 904,144 452,072 226,036 113,018 56,509 169,528 84,764 42,382 21,191 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7

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