1,310,724

2² × 3² × 23 × 1583

1,310,724 has digital root 9. The neighboring primes are 1310723 and 1310741; its proper-divisor sum differs from the starting integer by 838,008.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 1583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 3,459,456

Proper Divisor Sum 2,148,732

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1310723 ← → #1310741

Radix Representation

Decimal	1310724
Binary	101000000000000000100 (21 bits)
Octal	0o5000004
Hexadecimal	0x140004

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1,583 3,166 4,749 6,332 9,498 14,247 18,996 28,494 36,409 56,988 72,818 109,227 145,636 218,454 327,681 436,908 655,362 1,310,724

Collatz Trajectory (142 steps to reach 1)

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

1,310,724 655,362 327,681 983,044 491,522 245,761 737,284 368,642 184,321 552,964 276,482 138,241 414,724 207,362 103,681 311,044 155,522 77,761 233,284 116,642 58,321 174,964 87,482 43,741 131,224 65,612 32,806 16,403 49,210 24,605 73,816 36,908 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233

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