1,753,560

2³ × 3² × 5 × 4871

Starting at 1,753,560, the Collatz iteration reaches 1 after 145 steps. The first transition is 876780; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 4871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,700,240

Proper Divisor Sum 3,946,680

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1753559 ← → #1753561

Radix Representation

Decimal	1753560
Binary	110101100000111011000 (21 bits)
Octal	0o6540730
Hexadecimal	0x1AC1D8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4,871 9,742 14,613 19,484 24,355 29,226 38,968 43,839 48,710 58,452 73,065 87,678 97,420 116,904 146,130 175,356 194,840 219,195 292,260 350,712 438,390 584,520 876,780 1,753,560

Collatz Trajectory (145 steps to reach 1)

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

1,753,560 876,780 438,390 219,195 657,586 328,793 986,380 493,190 246,595 739,786 369,893 1,109,680 554,840 277,420 138,710 69,355 208,066 104,033 312,100 156,050 78,025 234,076 117,038 58,519 175,558 87,779 263,338 131,669 395,008 197,504 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310

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