1,001,539

7 × 11 × 13007

1,001,539 has digital root 1. The neighboring primes are 1001531 and 1001549; its proper-divisor sum differs from the starting integer by -754,310.

Prime Factor Structure

Factorization String 7 × 11 × 13007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,248,768

Proper Divisor Sum 247,229

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1001531 ← → #1001549

Radix Representation

Decimal	1001539
Binary	11110100100001000011 (20 bits)
Octal	0o3644103
Hexadecimal	0xF4843

Divisor Catalog (8)

1 7 11 77 13,007 91,049 143,077 1,001,539

Collatz Trajectory (113 steps to reach 1)

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

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 33,880 16,940 8,470 4,235 12,706 6,353

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