67,428,460

2² × 5 × 11³ × 17 × 149

67,428,460 factors as 2^2 × 5 × 11^3 × 17 × 149. Its 96 positive divisors give a proper-divisor sum of 98,589,140, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11^3 × 17 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 166,017,600

Proper Divisor Sum 98,589,140

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #67428419 ← → #67428461

Radix Representation

Decimal	67428460
Binary	100000001001110000001101100 (27 bits)
Octal	0o401160154
Hexadecimal	0x404E06C

Divisor Catalog (60 of 96)

1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 149 170 187 220 242 298 340 374 484 596 605 745 748 935 1,210 1,331 1,490 1,639 1,870 2,057 2,420 2,533 2,662 2,980 3,278 3,740 4,114 5,066 5,324 6,556 6,655 8,195 8,228 10,132 10,285 12,665 13,310 16,390 18,029 20,570 22,627 25,330 26,620 27,863

Collatz Trajectory (132 steps to reach 1)

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

67,428,460 33,714,230 16,857,115 50,571,346 25,285,673 75,857,020 37,928,510 18,964,255 56,892,766 28,446,383 85,339,150 42,669,575 128,008,726 64,004,363 192,013,090 96,006,545 288,019,636 144,009,818 72,004,909 216,014,728 108,007,364 54,003,682 27,001,841 81,005,524 40,502,762 20,251,381 60,754,144 30,377,072 15,188,536 7,594,268 3,797,134 1,898,567 5,695,702 2,847,851 8,543,554 4,271,777 12,815,332 6,407,666 3,203,833 9,611,500 4,805,750 2,402,875 7,208,626 3,604,313 10,812,940 5,406,470 2,703,235 8,109,706 4,054,853 12,164,560 6,082,280 3,041,140 1,520,570 760,285 2,280,856 1,140,428 570,214 285,107 855,322 427,661

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