1,581,225

3 × 5² × 29 × 727

Starting at 1,581,225, the Collatz iteration reaches 1 after 106 steps. The first transition is 4743676; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 29 × 727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,708,160

Proper Divisor Sum 1,126,935

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1581211 ← → #1581257

Radix Representation

Decimal	1581225
Binary	110000010000010101001 (21 bits)
Octal	0o6020251
Hexadecimal	0x1820A9

Divisor Catalog (24)

1 3 5 15 25 29 75 87 145 435 725 727 2,175 2,181 3,635 10,905 18,175 21,083 54,525 63,249 105,415 316,245 527,075 1,581,225

Collatz Trajectory (106 steps to reach 1)

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

1,581,225 4,743,676 2,371,838 1,185,919 3,557,758 1,778,879 5,336,638 2,668,319 8,004,958 4,002,479 12,007,438 6,003,719 18,011,158 9,005,579 27,016,738 13,508,369 40,525,108 20,262,554 10,131,277 30,393,832 15,196,916 7,598,458 3,799,229 11,397,688 5,698,844 2,849,422 1,424,711 4,274,134 2,137,067 6,411,202 3,205,601 9,616,804 4,808,402 2,404,201 7,212,604 3,606,302 1,803,151 5,409,454 2,704,727 8,114,182 4,057,091 12,171,274 6,085,637 18,256,912 9,128,456 4,564,228 2,282,114 1,141,057 3,423,172 1,711,586 855,793 2,567,380 1,283,690 641,845 1,925,536 962,768 481,384 240,692 120,346 60,173

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