2,084,728

2³ × 37 × 7043

2,084,728 factors as 2^3 × 37 × 7043. Its 16 positive divisors give a proper-divisor sum of 1,930,352, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 7043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,015,080

Proper Divisor Sum 1,930,352

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2084689 ← → #2084749

Radix Representation

Decimal	2084728
Binary	111111100111101111000 (21 bits)
Octal	0o7747570
Hexadecimal	0x1FCF78

Divisor Catalog (16)

1 2 4 8 37 74 148 296 7,043 14,086 28,172 56,344 260,591 521,182 1,042,364 2,084,728

Collatz Trajectory (109 steps to reach 1)

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

2,084,728 1,042,364 521,182 260,591 781,774 390,887 1,172,662 586,331 1,758,994 879,497 2,638,492 1,319,246 659,623 1,978,870 989,435 2,968,306 1,484,153 4,452,460 2,226,230 1,113,115 3,339,346 1,669,673 5,009,020 2,504,510 1,252,255 3,756,766 1,878,383 5,635,150 2,817,575 8,452,726 4,226,363 12,679,090 6,339,545 19,018,636 9,509,318 4,754,659 14,263,978 7,131,989 21,395,968 10,697,984 5,348,992 2,674,496 1,337,248 668,624 334,312 167,156 83,578 41,789 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223

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