378,961

11 × 47 × 733

Starting at 378,961, the Collatz iteration reaches 1 after 117 steps. The first transition is 1136884; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 47 × 733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 422,784

Proper Divisor Sum 43,823

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #378953 ← → #378967

Radix Representation

Decimal	378961
Binary	1011100100001010001 (19 bits)
Octal	0o1344121
Hexadecimal	0x5C851

Divisor Catalog (8)

1 11 47 517 733 8,063 34,451 378,961

Collatz Trajectory (117 steps to reach 1)

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

378,961 1,136,884 568,442 284,221 852,664 426,332 213,166 106,583 319,750 159,875 479,626 239,813 719,440 359,720 179,860 89,930 44,965 134,896 67,448 33,724 16,862 8,431 25,294 12,647 37,942 18,971 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405

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