3,537,120

2⁵ × 3 × 5 × 7369

Starting at 3,537,120, the Collatz iteration reaches 1 after 190 steps. The first transition is 1768560; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7369

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,143,440

Proper Divisor Sum 7,606,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3537119 ← → #3537151

Radix Representation

Decimal	3537120
Binary	1101011111100011100000 (22 bits)
Octal	0o15374340
Hexadecimal	0x35F8E0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7,369 14,738 22,107 29,476 36,845 44,214 58,952 73,690 88,428 110,535 117,904 147,380 176,856 221,070 235,808 294,760 353,712 442,140 589,520 707,424 884,280 1,179,040 1,768,560 3,537,120

Collatz Trajectory (190 steps to reach 1)

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

3,537,120 1,768,560 884,280 442,140 221,070 110,535 331,606 165,803 497,410 248,705 746,116 373,058 186,529 559,588 279,794 139,897 419,692 209,846 104,923 314,770 157,385 472,156 236,078 118,039 354,118 177,059 531,178 265,589 796,768 398,384 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740

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