λ
Harmonic Matrix

278,623

278623
Deficient Odd Prime

278,623 has digital root 1. The neighboring primes are 278617 and 278627; its proper-divisor sum differs from the starting integer by -278,622.

Prime Factor Structure

Factorization String 278623
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 278,624
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #278617 ← → #278627

Radix Representation

Decimal 278623
Binary 1000100000001011111 (19 bits)
Octal 0o1040137
Hexadecimal 0x4405F

Divisor Catalog (2)

1 278,623

Collatz Trajectory (189 steps to reach 1)

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

278,623 835,870 417,935 1,253,806 626,903 1,880,710 940,355 2,821,066 1,410,533 4,231,600 2,115,800 1,057,900 528,950 264,475 793,426 396,713 1,190,140 595,070 297,535 892,606 446,303 1,338,910 669,455 2,008,366 1,004,183 3,012,550 1,506,275 4,518,826 2,259,413 6,778,240 3,389,120 1,694,560 847,280 423,640 211,820 105,910 52,955 158,866 79,433 238,300 119,150 59,575 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724

More profiles

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