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Atlas › Integer Profiles › Node 2,869,713

2,869,713

32 × 7 × 11 × 41 × 101
Deficient Odd Composite

2,869,713 factors as 3^2 × 7 × 11 × 41 × 101. Its 48 positive divisors give a proper-divisor sum of 2,476,719, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 41 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,346,432
Proper Divisor Sum 2,476,719
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2869693 ← → #2869721

Radix Representation

Decimal 2869713
Binary 1010111100100111010001 (22 bits)
Octal 0o12744721
Hexadecimal 0x2BC9D1

Divisor Catalog (48)

1 3 7 9 11 21 33 41 63 77 99 101 123 231 287 303 369 451 693 707 861 909 1,111 1,353 2,121 2,583 3,157 3,333 4,059 4,141 6,363 7,777 9,471 9,999 12,423 23,331 28,413 28,987 37,269 45,551 69,993 86,961 136,653 260,883 318,857 409,959 956,571 2,869,713

Collatz Trajectory (120 steps to reach 1)

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

2,869,713 8,609,140 4,304,570 2,152,285 6,456,856 3,228,428 1,614,214 807,107 2,421,322 1,210,661 3,631,984 1,815,992 907,996 453,998 226,999 680,998 340,499 1,021,498 510,749 1,532,248 766,124 383,062 191,531 574,594 287,297 861,892 430,946 215,473 646,420 323,210 161,605 484,816 242,408 121,204 60,602 30,301 90,904 45,452 22,726 11,363 34,090 17,045 51,136 25,568 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037

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