λ
Harmonic Matrix

2,852,734

2 × 1426367
Deficient Even Composite

2,852,734 has digital root 4. The neighboring primes are 2852711 and 2852743; its proper-divisor sum differs from the starting integer by -1,426,364.

Prime Factor Structure

Factorization String 2 × 1426367
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,279,104
Proper Divisor Sum 1,426,370
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2852711 ← → #2852743

Radix Representation

Decimal 2852734
Binary 1010111000011101111110 (22 bits)
Octal 0o12703576
Hexadecimal 0x2B877E

Divisor Catalog (4)

1 2 1,426,367 2,852,734

Collatz Trajectory (275 steps to reach 1)

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

2,852,734 1,426,367 4,279,102 2,139,551 6,418,654 3,209,327 9,627,982 4,813,991 14,441,974 7,220,987 21,662,962 10,831,481 32,494,444 16,247,222 8,123,611 24,370,834 12,185,417 36,556,252 18,278,126 9,139,063 27,417,190 13,708,595 41,125,786 20,562,893 61,688,680 30,844,340 15,422,170 7,711,085 23,133,256 11,566,628 5,783,314 2,891,657 8,674,972 4,337,486 2,168,743 6,506,230 3,253,115 9,759,346 4,879,673 14,639,020 7,319,510 3,659,755 10,979,266 5,489,633 16,468,900 8,234,450 4,117,225 12,351,676 6,175,838 3,087,919 9,263,758 4,631,879 13,895,638 6,947,819 20,843,458 10,421,729 31,265,188 15,632,594 7,816,297 23,448,892

More profiles

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