2,004,415

5 × 7 × 57269

2,004,415 has digital root 7. The neighboring primes are 2004383 and 2004421; its proper-divisor sum differs from the starting integer by -1,259,870.

Prime Factor Structure

Factorization String 5 × 7 × 57269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,748,960

Proper Divisor Sum 744,545

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2004383 ← → #2004421

Radix Representation

Decimal	2004415
Binary	111101001010110111111 (21 bits)
Octal	0o7512677
Hexadecimal	0x1E95BF

Divisor Catalog (8)

1 5 7 35 57,269 286,345 400,883 2,004,415

Collatz Trajectory (166 steps to reach 1)

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

2,004,415 6,013,246 3,006,623 9,019,870 4,509,935 13,529,806 6,764,903 20,294,710 10,147,355 30,442,066 15,221,033 45,663,100 22,831,550 11,415,775 34,247,326 17,123,663 51,370,990 25,685,495 77,056,486 38,528,243 115,584,730 57,792,365 173,377,096 86,688,548 43,344,274 21,672,137 65,016,412 32,508,206 16,254,103 48,762,310 24,381,155 73,143,466 36,571,733 109,715,200 54,857,600 27,428,800 13,714,400 6,857,200 3,428,600 1,714,300 857,150 428,575 1,285,726 642,863 1,928,590 964,295 2,892,886 1,446,443 4,339,330 2,169,665 6,508,996 3,254,498 1,627,249 4,881,748 2,440,874 1,220,437 3,661,312 1,830,656 915,328 457,664

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