1,523,355

3 × 5 × 41 × 2477

Starting at 1,523,355, the Collatz iteration reaches 1 after 181 steps. The first transition is 4570066; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 2477

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,497,824

Proper Divisor Sum 974,469

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1523351 ← → #1523369

Radix Representation

Decimal	1523355
Binary	101110011111010011011 (21 bits)
Octal	0o5637233
Hexadecimal	0x173E9B

Divisor Catalog (16)

1 3 5 15 41 123 205 615 2,477 7,431 12,385 37,155 101,557 304,671 507,785 1,523,355

Collatz Trajectory (181 steps to reach 1)

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

1,523,355 4,570,066 2,285,033 6,855,100 3,427,550 1,713,775 5,141,326 2,570,663 7,711,990 3,855,995 11,567,986 5,783,993 17,351,980 8,675,990 4,337,995 13,013,986 6,506,993 19,520,980 9,760,490 4,880,245 14,640,736 7,320,368 3,660,184 1,830,092 915,046 457,523 1,372,570 686,285 2,058,856 1,029,428 514,714 257,357 772,072 386,036 193,018 96,509 289,528 144,764 72,382 36,191 108,574 54,287 162,862 81,431 244,294 122,147 366,442 183,221 549,664 274,832 137,416 68,708 34,354 17,177 51,532 25,766 12,883 38,650 19,325 57,976

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