391,524

2² × 3 × 7 × 59 × 79

Starting at 391,524, the Collatz iteration reaches 1 after 174 steps. The first transition is 195762; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 59 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,075,200

Proper Divisor Sum 683,676

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #391519 ← → #391537

Radix Representation

Decimal	391524
Binary	1011111100101100100 (19 bits)
Octal	0o1374544
Hexadecimal	0x5F964

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 59 79 84 118 158 177 236 237 316 354 413 474 553 708 826 948 1,106 1,239 1,652 1,659 2,212 2,478 3,318 4,661 4,956 6,636 9,322 13,983 18,644 27,966 32,627 55,932 65,254 97,881 130,508 195,762 391,524

Collatz Trajectory (174 steps to reach 1)

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

391,524 195,762 97,881 293,644 146,822 73,411 220,234 110,117 330,352 165,176 82,588 41,294 20,647 61,942 30,971 92,914 46,457 139,372 69,686 34,843 104,530 52,265 156,796 78,398 39,199 117,598 58,799 176,398 88,199 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422

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