λ
Harmonic Matrix

4,140,247

157 × 26371
Deficient Odd Composite

4,140,247 has digital root 4. The neighboring primes are 4140217 and 4140259; its proper-divisor sum differs from the starting integer by -4,113,718.

Prime Factor Structure

Factorization String 157 × 26371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,166,776
Proper Divisor Sum 26,529
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4140217 ← → #4140259

Radix Representation

Decimal 4140247
Binary 1111110010110011010111 (22 bits)
Octal 0o17626327
Hexadecimal 0x3F2CD7

Divisor Catalog (4)

1 157 26,371 4,140,247

Collatz Trajectory (136 steps to reach 1)

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

4,140,247 12,420,742 6,210,371 18,631,114 9,315,557 27,946,672 13,973,336 6,986,668 3,493,334 1,746,667 5,240,002 2,620,001 7,860,004 3,930,002 1,965,001 5,895,004 2,947,502 1,473,751 4,421,254 2,210,627 6,631,882 3,315,941 9,947,824 4,973,912 2,486,956 1,243,478 621,739 1,865,218 932,609 2,797,828 1,398,914 699,457 2,098,372 1,049,186 524,593 1,573,780 786,890 393,445 1,180,336 590,168 295,084 147,542 73,771 221,314 110,657 331,972 165,986 82,993 248,980 124,490 62,245 186,736 93,368 46,684 23,342 11,671 35,014 17,507 52,522 26,261

More profiles

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