λ
Harmonic Matrix

702,645

3 × 5 × 139 × 337
Deficient Odd Composite

702,645 has digital root 6. The neighboring primes are 702623 and 702671; its proper-divisor sum differs from the starting integer by -269,610.

Prime Factor Structure

Factorization String 3 × 5 × 139 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,135,680
Proper Divisor Sum 433,035
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #702623 ← → #702671

Radix Representation

Decimal 702645
Binary 10101011100010110101 (20 bits)
Octal 0o2534265
Hexadecimal 0xAB8B5

Divisor Catalog (16)

1 3 5 15 139 337 417 695 1,011 1,685 2,085 5,055 46,843 140,529 234,215 702,645

Collatz Trajectory (154 steps to reach 1)

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

702,645 2,107,936 1,053,968 526,984 263,492 131,746 65,873 197,620 98,810 49,405 148,216 74,108 37,054 18,527 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462

More profiles

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