λ
Harmonic Matrix

4,680,437

41 × 114157
Deficient Odd Composite

4,680,437 has digital root 5. The neighboring primes are 4680433 and 4680451; its proper-divisor sum differs from the starting integer by -4,566,238.

Prime Factor Structure

Factorization String 41 × 114157
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,794,636
Proper Divisor Sum 114,199
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4680433 ← → #4680451

Radix Representation

Decimal 4680437
Binary 10001110110101011110101 (23 bits)
Octal 0o21665365
Hexadecimal 0x476AF5

Divisor Catalog (4)

1 41 114,157 4,680,437

Collatz Trajectory (136 steps to reach 1)

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

4,680,437 14,041,312 7,020,656 3,510,328 1,755,164 877,582 438,791 1,316,374 658,187 1,974,562 987,281 2,961,844 1,480,922 740,461 2,221,384 1,110,692 555,346 277,673 833,020 416,510 208,255 624,766 312,383 937,150 468,575 1,405,726 702,863 2,108,590 1,054,295 3,162,886 1,581,443 4,744,330 2,372,165 7,116,496 3,558,248 1,779,124 889,562 444,781 1,334,344 667,172 333,586 166,793 500,380 250,190 125,095 375,286 187,643 562,930 281,465 844,396 422,198 211,099 633,298 316,649 949,948 474,974 237,487 712,462 356,231 1,068,694

More profiles

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