λ
Harmonic Matrix

740,215

5 × 7 × 21149
Deficient Odd Composite

740,215 has digital root 1. The neighboring primes are 740191 and 740227; its proper-divisor sum differs from the starting integer by -465,230.

Prime Factor Structure

Factorization String 5 × 7 × 21149
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,015,200
Proper Divisor Sum 274,985
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #740191 ← → #740227

Radix Representation

Decimal 740215
Binary 10110100101101110111 (20 bits)
Octal 0o2645567
Hexadecimal 0xB4B77

Divisor Catalog (8)

1 5 7 35 21,149 105,745 148,043 740,215

Collatz Trajectory (141 steps to reach 1)

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

740,215 2,220,646 1,110,323 3,330,970 1,665,485 4,996,456 2,498,228 1,249,114 624,557 1,873,672 936,836 468,418 234,209 702,628 351,314 175,657 526,972 263,486 131,743 395,230 197,615 592,846 296,423 889,270 444,635 1,333,906 666,953 2,000,860 1,000,430 500,215 1,500,646 750,323 2,250,970 1,125,485 3,376,456 1,688,228 844,114 422,057 1,266,172 633,086 316,543 949,630 474,815 1,424,446 712,223 2,136,670 1,068,335 3,205,006 1,602,503 4,807,510 2,403,755 7,211,266 3,605,633 10,816,900 5,408,450 2,704,225 8,112,676 4,056,338 2,028,169 6,084,508

More profiles

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