1,767,545

5 × 13 × 71 × 383

Starting at 1,767,545, the Collatz iteration reaches 1 after 127 steps. The first transition is 5302636; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 71 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,322,432

Proper Divisor Sum 554,887

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1767539 ← → #1767553

Radix Representation

Decimal	1767545
Binary	110101111100001111001 (21 bits)
Octal	0o6574171
Hexadecimal	0x1AF879

Divisor Catalog (16)

1 5 13 65 71 355 383 923 1,915 4,615 4,979 24,895 27,193 135,965 353,509 1,767,545

Collatz Trajectory (127 steps to reach 1)

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

1,767,545 5,302,636 2,651,318 1,325,659 3,976,978 1,988,489 5,965,468 2,982,734 1,491,367 4,474,102 2,237,051 6,711,154 3,355,577 10,066,732 5,033,366 2,516,683 7,550,050 3,775,025 11,325,076 5,662,538 2,831,269 8,493,808 4,246,904 2,123,452 1,061,726 530,863 1,592,590 796,295 2,388,886 1,194,443 3,583,330 1,791,665 5,374,996 2,687,498 1,343,749 4,031,248 2,015,624 1,007,812 503,906 251,953 755,860 377,930 188,965 566,896 283,448 141,724 70,862 35,431 106,294 53,147 159,442 79,721 239,164 119,582 59,791 179,374 89,687 269,062 134,531 403,594

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