787,612

2² × 7 × 23 × 1223

787,612 has digital root 4. The neighboring primes are 787609 and 787621; its proper-divisor sum differs from the starting integer by 69,832.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 1223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,645,056

Proper Divisor Sum 857,444

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #787609 ← → #787621

Radix Representation

Decimal	787612
Binary	11000000010010011100 (20 bits)
Octal	0o3002234
Hexadecimal	0xC049C

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 1,223 2,446 4,892 8,561 17,122 28,129 34,244 56,258 112,516 196,903 393,806 787,612

Collatz Trajectory (237 steps to reach 1)

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

787,612 393,806 196,903 590,710 295,355 886,066 443,033 1,329,100 664,550 332,275 996,826 498,413 1,495,240 747,620 373,810 186,905 560,716 280,358 140,179 420,538 210,269 630,808 315,404 157,702 78,851 236,554 118,277 354,832 177,416 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997

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