752,070

2 × 3 × 5 × 11 × 43 × 53

Starting at 752,070, the Collatz iteration reaches 1 after 61 steps. The first transition is 376035; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 43 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,052,864

Proper Divisor Sum 1,300,794

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #752053 ← → #752083

Radix Representation

Decimal	752070
Binary	10110111100111000110 (20 bits)
Octal	0o2674706
Hexadecimal	0xB79C6

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 15 22 30 33 43 53 55 66 86 106 110 129 159 165 215 258 265 318 330 430 473 530 583 645 795 946 1,166 1,290 1,419 1,590 1,749 2,279 2,365 2,838 2,915 3,498 4,558 4,730 5,830 6,837 7,095 8,745 11,395 13,674 14,190 17,490 22,790 25,069 34,185 50,138 68,370 75,207 125,345

Collatz Trajectory (61 steps to reach 1)

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

752,070 376,035 1,128,106 564,053 1,692,160 846,080 423,040 211,520 105,760 52,880 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4

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