7,012,632

2³ × 3 × 11 × 101 × 263

Starting at 7,012,632, the Collatz iteration reaches 1 after 147 steps. The first transition is 3506316; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 101 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,388,160

Proper Divisor Sum 12,375,528

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7012627 ← → #7012657

Radix Representation

Decimal	7012632
Binary	11010110000000100011000 (23 bits)
Octal	0o32600430
Hexadecimal	0x6B0118

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 263 264 303 404 526 606 789 808 1,052 1,111 1,212 1,578 2,104 2,222 2,424 2,893 3,156 3,333 4,444 5,786 6,312 6,666 8,679 8,888 11,572 13,332 17,358 23,144 26,563 26,664 34,716 53,126 69,432 79,689 106,252 159,378 212,504 292,193 318,756 584,386 637,512 876,579 1,168,772

Collatz Trajectory (147 steps to reach 1)

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

7,012,632 3,506,316 1,753,158 876,579 2,629,738 1,314,869 3,944,608 1,972,304 986,152 493,076 246,538 123,269 369,808 184,904 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 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

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