1,358,535

3 × 5 × 41 × 47²

Starting at 1,358,535, the Collatz iteration reaches 1 after 137 steps. The first transition is 4075606; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 47^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,275,056

Proper Divisor Sum 916,521

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1358509 ← → #1358537

Radix Representation

Decimal	1358535
Binary	101001011101011000111 (21 bits)
Octal	0o5135307
Hexadecimal	0x14BAC7

Divisor Catalog (24)

1 3 5 15 41 47 123 141 205 235 615 705 1,927 2,209 5,781 6,627 9,635 11,045 28,905 33,135 90,569 271,707 452,845 1,358,535

Collatz Trajectory (137 steps to reach 1)

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

1,358,535 4,075,606 2,037,803 6,113,410 3,056,705 9,170,116 4,585,058 2,292,529 6,877,588 3,438,794 1,719,397 5,158,192 2,579,096 1,289,548 644,774 322,387 967,162 483,581 1,450,744 725,372 362,686 181,343 544,030 272,015 816,046 408,023 1,224,070 612,035 1,836,106 918,053 2,754,160 1,377,080 688,540 344,270 172,135 516,406 258,203 774,610 387,305 1,161,916 580,958 290,479 871,438 435,719 1,307,158 653,579 1,960,738 980,369 2,941,108 1,470,554 735,277 2,205,832 1,102,916 551,458 275,729 827,188 413,594 206,797 620,392 310,196

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