1,288,248

2³ × 3 × 13 × 4129

1,288,248 has digital root 6. The neighboring primes are 1288247 and 1288249; its proper-divisor sum differs from the starting integer by 892,704.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 4129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,469,200

Proper Divisor Sum 2,180,952

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1288247 ← → #1288249

Radix Representation

Decimal	1288248
Binary	100111010100000111000 (21 bits)
Octal	0o4724070
Hexadecimal	0x13A838

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 4,129 8,258 12,387 16,516 24,774 33,032 49,548 53,677 99,096 107,354 161,031 214,708 322,062 429,416 644,124 1,288,248

Collatz Trajectory (124 steps to reach 1)

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

1,288,248 644,124 322,062 161,031 483,094 241,547 724,642 362,321 1,086,964 543,482 271,741 815,224 407,612 203,806 101,903 305,710 152,855 458,566 229,283 687,850 343,925 1,031,776 515,888 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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