λ
Harmonic Matrix

4,312,333

4312333
Deficient Odd Prime

4,312,333 has digital root 1. The neighboring primes are 4312331 and 4312337; its proper-divisor sum differs from the starting integer by -4,312,332.

Prime Factor Structure

Factorization String 4312333
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,312,334
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4312331 ← → #4312337

Radix Representation

Decimal 4312333
Binary 10000011100110100001101 (23 bits)
Octal 0o20346415
Hexadecimal 0x41CD0D

Divisor Catalog (2)

Collatz Trajectory (167 steps to reach 1)

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

4,312,333 12,937,000 6,468,500 3,234,250 1,617,125 4,851,376 2,425,688 1,212,844 606,422 303,211 909,634 454,817 1,364,452 682,226 341,113 1,023,340 511,670 255,835 767,506 383,753 1,151,260 575,630 287,815 863,446 431,723 1,295,170 647,585 1,942,756 971,378 485,689 1,457,068 728,534 364,267 1,092,802 546,401 1,639,204 819,602 409,801 1,229,404 614,702 307,351 922,054 461,027 1,383,082 691,541 2,074,624 1,037,312 518,656 259,328 129,664 64,832 32,416 16,208 8,104 4,052 2,026 1,013 3,040 1,520 760

More profiles

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