1,780,513

7³ × 29 × 179

For 1,780,513, the 16 positive divisors have a total of 2,160,000. Removing 1,780,513 leaves 379,487, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^3 × 29 × 179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,160,000

Proper Divisor Sum 379,487

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1780489 ← → #1780517

Radix Representation

Decimal	1780513
Binary	110110010101100100001 (21 bits)
Octal	0o6625441
Hexadecimal	0x1B2B21

Divisor Catalog (16)

1 7 29 49 179 203 343 1,253 1,421 5,191 8,771 9,947 36,337 61,397 254,359 1,780,513

Collatz Trajectory (119 steps to reach 1)

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

1,780,513 5,341,540 2,670,770 1,335,385 4,006,156 2,003,078 1,001,539 3,004,618 1,502,309 4,506,928 2,253,464 1,126,732 563,366 281,683 845,050 422,525 1,267,576 633,788 316,894 158,447 475,342 237,671 713,014 356,507 1,069,522 534,761 1,604,284 802,142 401,071 1,203,214 601,607 1,804,822 902,411 2,707,234 1,353,617 4,060,852 2,030,426 1,015,213 3,045,640 1,522,820 761,410 380,705 1,142,116 571,058 285,529 856,588 428,294 214,147 642,442 321,221 963,664 481,832 240,916 120,458 60,229 180,688 90,344 45,172 22,586 11,293

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