1,405,070

2 × 5 × 23 × 41 × 149

Starting at 1,405,070, the Collatz iteration reaches 1 after 155 steps. The first transition is 702535; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 41 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,721,600

Proper Divisor Sum 1,316,530

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1405039 ← → #1405087

Radix Representation

Decimal	1405070
Binary	101010111000010001110 (21 bits)
Octal	0o5270216
Hexadecimal	0x15708E

Divisor Catalog (32)

1 2 5 10 23 41 46 82 115 149 205 230 298 410 745 943 1,490 1,886 3,427 4,715 6,109 6,854 9,430 12,218 17,135 30,545 34,270 61,090 140,507 281,014 702,535 1,405,070

Collatz Trajectory (155 steps to reach 1)

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

1,405,070 702,535 2,107,606 1,053,803 3,161,410 1,580,705 4,742,116 2,371,058 1,185,529 3,556,588 1,778,294 889,147 2,667,442 1,333,721 4,001,164 2,000,582 1,000,291 3,000,874 1,500,437 4,501,312 2,250,656 1,125,328 562,664 281,332 140,666 70,333 211,000 105,500 52,750 26,375 79,126 39,563 118,690 59,345 178,036 89,018 44,509 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486

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