λ
Harmonic Matrix

7,157,439

32 × 23 × 71 × 487
Deficient Odd Composite

7,157,439 has digital root 9. The neighboring primes are 7157429 and 7157443; its proper-divisor sum differs from the starting integer by -3,352,446.

Prime Factor Structure

Factorization String 3^2 × 23 × 71 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,962,432
Proper Divisor Sum 3,804,993
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7157429 ← → #7157443

Radix Representation

Decimal 7157439
Binary 11011010011011010111111 (23 bits)
Octal 0o33233277
Hexadecimal 0x6D36BF

Divisor Catalog (24)

1 3 9 23 69 71 207 213 487 639 1,461 1,633 4,383 4,899 11,201 14,697 33,603 34,577 100,809 103,731 311,193 795,271 2,385,813 7,157,439

Collatz Trajectory (147 steps to reach 1)

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

7,157,439 21,472,318 10,736,159 32,208,478 16,104,239 48,312,718 24,156,359 72,469,078 36,234,539 108,703,618 54,351,809 163,055,428 81,527,714 40,763,857 122,291,572 61,145,786 30,572,893 91,718,680 45,859,340 22,929,670 11,464,835 34,394,506 17,197,253 51,591,760 25,795,880 12,897,940 6,448,970 3,224,485 9,673,456 4,836,728 2,418,364 1,209,182 604,591 1,813,774 906,887 2,720,662 1,360,331 4,080,994 2,040,497 6,121,492 3,060,746 1,530,373 4,591,120 2,295,560 1,147,780 573,890 286,945 860,836 430,418 215,209 645,628 322,814 161,407 484,222 242,111 726,334 363,167 1,089,502 544,751 1,634,254

More profiles

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