λ
Harmonic Matrix

2,477,722

2 × 13 × 233 × 409
Deficient Even Composite

2,477,722 has digital root 4. The neighboring primes are 2477719 and 2477729; its proper-divisor sum differs from the starting integer by -925,964.

Prime Factor Structure

Factorization String 2 × 13 × 233 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,029,480
Proper Divisor Sum 1,551,758
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2477719 ← → #2477729

Radix Representation

Decimal 2477722
Binary 1001011100111010011010 (22 bits)
Octal 0o11347232
Hexadecimal 0x25CE9A

Divisor Catalog (16)

1 2 13 26 233 409 466 818 3,029 5,317 6,058 10,634 95,297 190,594 1,238,861 2,477,722

Collatz Trajectory (161 steps to reach 1)

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

2,477,722 1,238,861 3,716,584 1,858,292 929,146 464,573 1,393,720 696,860 348,430 174,215 522,646 261,323 783,970 391,985 1,175,956 587,978 293,989 881,968 440,984 220,492 110,246 55,123 165,370 82,685 248,056 124,028 62,014 31,007 93,022 46,511 139,534 69,767 209,302 104,651 313,954 156,977 470,932 235,466 117,733 353,200 176,600 88,300 44,150 22,075 66,226 33,113 99,340 49,670 24,835 74,506 37,253 111,760 55,880 27,940 13,970 6,985 20,956 10,478 5,239 15,718

More profiles

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