1,505,595

3 × 5 × 7 × 13 × 1103

Starting at 1,505,595, the Collatz iteration reaches 1 after 88 steps. The first transition is 4516786; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 1103

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,967,552

Proper Divisor Sum 1,461,957

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1505591 ← → #1505599

Radix Representation

Decimal	1505595
Binary	101101111100100111011 (21 bits)
Octal	0o5574473
Hexadecimal	0x16F93B

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,103 1,365 3,309 5,515 7,721 14,339 16,545 23,163 38,605 43,017 71,695 100,373 115,815 215,085 301,119 501,865 1,505,595

Collatz Trajectory (88 steps to reach 1)

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

1,505,595 4,516,786 2,258,393 6,775,180 3,387,590 1,693,795 5,081,386 2,540,693 7,622,080 3,811,040 1,905,520 952,760 476,380 238,190 119,095 357,286 178,643 535,930 267,965 803,896 401,948 200,974 100,487 301,462 150,731 452,194 226,097 678,292 339,146 169,573 508,720 254,360 127,180 63,590 31,795 95,386 47,693 143,080 71,540 35,770 17,885 53,656 26,828 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556

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