λ
Integer Codex

3,431,293

463 × 7411
Deficient Odd Composite

For 3,431,293, the 4 positive divisors have a total of 3,439,168. Removing 3,431,293 leaves 7,875, which gives the deficient classification.

Prime Factor Structure

Factorization String 463 × 7411
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,439,168
Proper Divisor Sum 7,875
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3431287 ← → #3431317

Radix Representation

Decimal 3431293
Binary 1101000101101101111101 (22 bits)
Octal 0o15055575
Hexadecimal 0x345B7D

Divisor Catalog (4)

1 463 7,411 3,431,293

Collatz Trajectory (115 steps to reach 1)

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

3,431,293 10,293,880 5,146,940 2,573,470 1,286,735 3,860,206 1,930,103 5,790,310 2,895,155 8,685,466 4,342,733 13,028,200 6,514,100 3,257,050 1,628,525 4,885,576 2,442,788 1,221,394 610,697 1,832,092 916,046 458,023 1,374,070 687,035 2,061,106 1,030,553 3,091,660 1,545,830 772,915 2,318,746 1,159,373 3,478,120 1,739,060 869,530 434,765 1,304,296 652,148 326,074 163,037 489,112 244,556 122,278 61,139 183,418 91,709 275,128 137,564 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764

More profiles

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