4,377,517

17 × 257501

Starting at 4,377,517, the Collatz iteration reaches 1 after 211 steps. The first transition is 13132552; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 257501

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,635,036

Proper Divisor Sum 257,519

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4377511 ← → #4377539

Radix Representation

Decimal	4377517
Binary	10000101100101110101101 (23 bits)
Octal	0o20545655
Hexadecimal	0x42CBAD

Divisor Catalog (4)

1 17 257,501 4,377,517

Collatz Trajectory (211 steps to reach 1)

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

4,377,517 13,132,552 6,566,276 3,283,138 1,641,569 4,924,708 2,462,354 1,231,177 3,693,532 1,846,766 923,383 2,770,150 1,385,075 4,155,226 2,077,613 6,232,840 3,116,420 1,558,210 779,105 2,337,316 1,168,658 584,329 1,752,988 876,494 438,247 1,314,742 657,371 1,972,114 986,057 2,958,172 1,479,086 739,543 2,218,630 1,109,315 3,327,946 1,663,973 4,991,920 2,495,960 1,247,980 623,990 311,995 935,986 467,993 1,403,980 701,990 350,995 1,052,986 526,493 1,579,480 789,740 394,870 197,435 592,306 296,153 888,460 444,230 222,115 666,346 333,173 999,520

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