λ
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Atlas › Integer Profiles › Node 1,624,455

1,624,455

35 × 5 × 7 × 191
Abundant Odd Composite

1,624,455 factors as 3^5 × 5 × 7 × 191. Its 48 positive divisors give a proper-divisor sum of 1,730,169, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,354,624
Proper Divisor Sum 1,730,169
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1624453 ← → #1624471

Radix Representation

Decimal 1624455
Binary 110001100100110000111 (21 bits)
Octal 0o6144607
Hexadecimal 0x18C987

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 191 243 315 405 567 573 945 955 1,215 1,337 1,701 1,719 2,835 2,865 4,011 5,157 6,685 8,505 8,595 12,033 15,471 20,055 25,785 36,099 46,413 60,165 77,355 108,297 180,495 232,065 324,891 541,485 1,624,455

Collatz Trajectory (62 steps to reach 1)

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

1,624,455 4,873,366 2,436,683 7,310,050 3,655,025 10,965,076 5,482,538 2,741,269 8,223,808 4,111,904 2,055,952 1,027,976 513,988 256,994 128,497 385,492 192,746 96,373 289,120 144,560 72,280 36,140 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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