1,374,000

2⁴ × 3 × 5³ × 229

Starting at 1,374,000, the Collatz iteration reaches 1 after 93 steps. The first transition is 687000; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 4,449,120

Proper Divisor Sum 3,075,120

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1373989 ← → #1374007

Radix Representation

Decimal	1374000
Binary	101001111011100110000 (21 bits)
Octal	0o5173460
Hexadecimal	0x14F730

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 229 240 250 300 375 400 458 500 600 687 750 916 1,000 1,145 1,200 1,374 1,500 1,832 2,000 2,290 2,748 3,000 3,435 3,664 4,580 5,496 5,725 6,000 6,870 9,160 10,992 11,450 13,740 17,175

Collatz Trajectory (93 steps to reach 1)

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

1,374,000 687,000 343,500 171,750 85,875 257,626 128,813 386,440 193,220 96,610 48,305 144,916 72,458 36,229 108,688 54,344 27,172 13,586 6,793 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746

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