λ
Harmonic Matrix

1,529,155

5 × 23 × 13297
Deficient Odd Composite

1,529,155 has digital root 1. The neighboring primes are 1529153 and 1529189; its proper-divisor sum differs from the starting integer by -1,143,398.

Prime Factor Structure

Factorization String 5 × 23 × 13297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,914,912
Proper Divisor Sum 385,757
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1529153 ← → #1529189

Radix Representation

Decimal 1529155
Binary 101110101010101000011 (21 bits)
Octal 0o5652503
Hexadecimal 0x175543

Divisor Catalog (8)

1 5 23 115 13,297 66,485 305,831 1,529,155

Collatz Trajectory (256 steps to reach 1)

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

1,529,155 4,587,466 2,293,733 6,881,200 3,440,600 1,720,300 860,150 430,075 1,290,226 645,113 1,935,340 967,670 483,835 1,451,506 725,753 2,177,260 1,088,630 544,315 1,632,946 816,473 2,449,420 1,224,710 612,355 1,837,066 918,533 2,755,600 1,377,800 688,900 344,450 172,225 516,676 258,338 129,169 387,508 193,754 96,877 290,632 145,316 72,658 36,329 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195

More profiles

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