λ
Harmonic Matrix

1,507,278

2 × 3 × 229 × 1097
Abundant Even Composite

1,507,278 has digital root 3. The neighboring primes are 1507229 and 1507291; its proper-divisor sum differs from the starting integer by 15,924.

Prime Factor Structure

Factorization String 2 × 3 × 229 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,030,480
Proper Divisor Sum 1,523,202
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1507229 ← → #1507291

Radix Representation

Decimal 1507278
Binary 101101111111111001110 (21 bits)
Octal 0o5577716
Hexadecimal 0x16FFCE

Divisor Catalog (16)

1 2 3 6 229 458 687 1,097 1,374 2,194 3,291 6,582 251,213 502,426 753,639 1,507,278

Collatz Trajectory (137 steps to reach 1)

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

1,507,278 753,639 2,260,918 1,130,459 3,391,378 1,695,689 5,087,068 2,543,534 1,271,767 3,815,302 1,907,651 5,722,954 2,861,477 8,584,432 4,292,216 2,146,108 1,073,054 536,527 1,609,582 804,791 2,414,374 1,207,187 3,621,562 1,810,781 5,432,344 2,716,172 1,358,086 679,043 2,037,130 1,018,565 3,055,696 1,527,848 763,924 381,962 190,981 572,944 286,472 143,236 71,618 35,809 107,428 53,714 26,857 80,572 40,286 20,143 60,430 30,215 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484 38,242 19,121 57,364

More profiles

← Previous Integer #1,507,277 Browse Full Index Next Integer #1,507,279 →