446,782

2 × 7² × 47 × 97

Prime Factor Structure

Factorization String 2 × 7^2 × 47 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 804,384

Proper Divisor Sum 357,602

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #446773 ← → #446819

Radix Representation

Decimal	446782
Binary	1101101000100111110 (19 bits)
Octal	0o1550476
Hexadecimal	0x6D13E

Divisor Catalog (24)

1 2 7 14 47 49 94 97 98 194 329 658 679 1,358 2,303 4,559 4,606 4,753 9,118 9,506 31,913 63,826 223,391 446,782

Collatz Trajectory (262 steps to reach 1)

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

446,782 223,391 670,174 335,087 1,005,262 502,631 1,507,894 753,947 2,261,842 1,130,921 3,392,764 1,696,382 848,191 2,544,574 1,272,287 3,816,862 1,908,431 5,725,294 2,862,647 8,587,942 4,293,971 12,881,914 6,440,957 19,322,872 9,661,436 4,830,718 2,415,359 7,246,078 3,623,039 10,869,118 5,434,559 16,303,678 8,151,839 24,455,518 12,227,759 36,683,278 18,341,639 55,024,918 27,512,459 82,537,378 41,268,689 123,806,068 61,903,034 30,951,517 92,854,552 46,427,276 23,213,638 11,606,819 34,820,458 17,410,229 52,230,688 26,115,344 13,057,672 6,528,836 3,264,418 1,632,209 4,896,628 2,448,314 1,224,157 3,672,472

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