3,670,512

2⁴ × 3 × 47 × 1627

Starting at 3,670,512, the Collatz iteration reaches 1 after 190 steps. The first transition is 1835256; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 47 × 1627

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,689,856

Proper Divisor Sum 6,019,344

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3670483 ← → #3670517

Radix Representation

Decimal	3670512
Binary	1110000000000111110000 (22 bits)
Octal	0o16000760
Hexadecimal	0x3801F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1,128 1,627 2,256 3,254 4,881 6,508 9,762 13,016 19,524 26,032 39,048 76,469 78,096 152,938 229,407 305,876 458,814 611,752 917,628 1,223,504 1,835,256 3,670,512

Collatz Trajectory (190 steps to reach 1)

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

3,670,512 1,835,256 917,628 458,814 229,407 688,222 344,111 1,032,334 516,167 1,548,502 774,251 2,322,754 1,161,377 3,484,132 1,742,066 871,033 2,613,100 1,306,550 653,275 1,959,826 979,913 2,939,740 1,469,870 734,935 2,204,806 1,102,403 3,307,210 1,653,605 4,960,816 2,480,408 1,240,204 620,102 310,051 930,154 465,077 1,395,232 697,616 348,808 174,404 87,202 43,601 130,804 65,402 32,701 98,104 49,052 24,526 12,263 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086 31,043 93,130 46,565 139,696

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