λ
Integer Codex

1,733,737

31 × 55927
Deficient Odd Composite

For 1,733,737, the 4 positive divisors have a total of 1,789,696. Removing 1,733,737 leaves 55,959, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 55927
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,789,696
Proper Divisor Sum 55,959
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1733729 ← → #1733741

Radix Representation

Decimal 1733737
Binary 110100111010001101001 (21 bits)
Octal 0o6472151
Hexadecimal 0x1A7469

Divisor Catalog (4)

1 31 55,927 1,733,737

Collatz Trajectory (96 steps to reach 1)

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

1,733,737 5,201,212 2,600,606 1,300,303 3,900,910 1,950,455 5,851,366 2,925,683 8,777,050 4,388,525 13,165,576 6,582,788 3,291,394 1,645,697 4,937,092 2,468,546 1,234,273 3,702,820 1,851,410 925,705 2,777,116 1,388,558 694,279 2,082,838 1,041,419 3,124,258 1,562,129 4,686,388 2,343,194 1,171,597 3,514,792 1,757,396 878,698 439,349 1,318,048 659,024 329,512 164,756 82,378 41,189 123,568 61,784 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834

More profiles

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