446,407

13 × 23 × 1493

446,407 factors as 13 × 23 × 1493. Its 8 positive divisors give a proper-divisor sum of 55,577, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 13 × 23 × 1493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 501,984

Proper Divisor Sum 55,577

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #446401 ← → #446417

Radix Representation

Decimal	446407
Binary	1101100111111000111 (19 bits)
Octal	0o1547707
Hexadecimal	0x6CFC7

Divisor Catalog (8)

1 13 23 299 1,493 19,409 34,339 446,407

Collatz Trajectory (187 steps to reach 1)

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

446,407 1,339,222 669,611 2,008,834 1,004,417 3,013,252 1,506,626 753,313 2,259,940 1,129,970 564,985 1,694,956 847,478 423,739 1,271,218 635,609 1,906,828 953,414 476,707 1,430,122 715,061 2,145,184 1,072,592 536,296 268,148 134,074 67,037 201,112 100,556 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996

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